Finite Group Databasebeta

← Group #11865878

Character table — Group #11865878

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order12222233444466666636666666121212121212121212121212668812122424242424242424242424242424242422224444444422446666666612121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111-1-1-1-111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-11111-1-11111-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-1
χ91111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11-11-1
χ101111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-1-111-1-111-1-111-1-111-11-11
χ111111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-111-1-111-1-111-1-111-1-1-11-11
χ121111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1111-11-1
χ131111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-11
χ141111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-111-11111-1-1-1-111-1-1-1-111-111-1
χ151111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-11-1-1-1-11111-1-11111-1-1-111-1
χ161111-1-1111-1-111111111-1-1-1-111111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1111-1-11
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
χ192222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200000000202000-1-1-1-1-1-1-1-10000000000
χ202222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000-20-2000111111110000000000
χ212222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111222200000000-20-2000-1-1-1-111110000000000
χ222222222-122222-1-12-12-122-1-1-1-1-12-122-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-2000000002020001111-1-1-1-10000000000
χ23222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000202-1-100000000-1-1-1-1-1-10000
χ24222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000-20-211000000001111110000
χ25222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-211110000222200000-20-2110000000011-1-1-1-10000
χ26222222-122222-122-12-1-1-1-122-1-1-1-12-1-122-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-200000202-1-100000000-1-111110000
χ272222-2-222-222-22222222-2-2-2-2222-2-22222-2-2-2-2-2-2-2-2002200000000000000000000000022-2-200000000000000000000-2200
χ282222-2-222-222-22222222-2-2-2-2222-2-22222-2-2-2-2-2-2-2-20022000000000000000000000000-2-222000000000000000000002-200
χ292222-2-22-12-2-222-1-12-12-1-2-211-1-1-12-1-2-211-1-12-1-1-1112-21122-1-1-1-1-1-1-2-211111122-2-20000000020-2000-1-111-1-1110000000000
χ302222-2-22-12-2-222-1-12-12-1-2-211-1-1-12-1-2-211-1-12-1-1-1112-21122-1-1-1-1-1-1-2-2111111-2-22200000000-20200011-1-111-1-10000000000
χ312222-2-22-12-2-222-1-12-12-1-2-211-1-1-12-1-2-211-1-12-1-1-111-2211-2-211111122-1-1-1-1-1-122-2-200000000-202000-1-11111-1-10000000000
χ322222-2-22-12-2-222-1-12-12-1-2-211-1-1-12-1-2-211-1-12-1-1-111-2211-2-211111122-1-1-1-1-1-1-2-2220000000020-200011-1-1-1-1110000000000
χ332222-2-2-122-2-22-122-12-1-111-2-2-1-1-1-1211-2-2-1-1-12-1-1112-211-1-122-1-1-1-111-2-21111000022-2-20000020-2-1-10000000011-1-1110000
χ342222-2-2-122-2-22-122-12-1-111-2-2-1-1-1-1211-2-2-1-1-12-1-1112-211-1-122-1-1-1-111-2-211110000-2-22200000-2021100000000-1-111-1-10000
χ352222-2-2-122-2-22-122-12-1-111-2-2-1-1-1-1211-2-2-1-1-12-1-111-221111-2-21111-1-122-1-1-1-1000022-2-200000-2021100000000-1-1-1-1110000
χ362222-2-2-122-2-22-122-12-1-111-2-2-1-1-1-1211-2-2-1-1-12-1-111-221111-2-21111-1-122-1-1-1-10000-2-2220000020-2-1-1000000001111-1-10000
χ3722-2-22-22222-2-2-2-2-222-222-22-2-2-22222-22-222-2-2-2-22-2002-2000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ3822-2-22-22222-2-2-2-2-222-222-22-2-2-22222-22-222-2-2-2-22-2002-200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ3922-2-22-222-2-222-2-2-222-222-22-2-2-22-2-2-22-22-2-222222-200-2200000000000000002-22-2000000000000002-22-200000000000000
χ4022-2-22-222-2-222-2-2-222-222-22-2-2-22-2-2-22-22-2-222222-200-220000000000000000-22-2200000000000000-22-2200000000000000
χ4122-2-22-22-1-2-222-2112-1-2-12-2-1111-1-21-221-1112-1-1-1-11001-100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32-22-200000000000000-11-11−i3i3−i3i30000000000
χ4222-2-22-22-1-2-222-2112-1-2-12-2-1111-1-21-221-1112-1-1-1-11001-100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-22-22000000000000001-11-1i3−i3i3−i30000000000
χ4322-2-22-22-1-2-222-2112-1-2-12-2-1111-1-21-221-1112-1-1-1-11001-100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32-22-200000000000000-11-11i3−i3i3−i30000000000
χ4422-2-22-22-1-2-222-2112-1-2-12-2-1111-1-21-221-1112-1-1-1-11001-100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-22-22000000000000001-11-1−i3i3−i3i30000000000
χ4522-2-22-2-1222-2-21-2-2-121-1-112-211-1-12-112-2-1-11-211-1100-113−3003−33−33−3003−33−300002i−2i2i−2i00000000−i3i300000000−i3i3−ii−ii0000
χ4622-2-22-2-1222-2-21-2-2-121-1-112-211-1-12-112-2-1-11-211-1100-113−3003−33−33−3003−33−30000−2i2i−2i2i00000000i3−i300000000i3−i3i−ii−i0000
χ4722-2-22-2-1222-2-21-2-2-121-1-112-211-1-12-112-2-1-11-211-1100-11−3300−33−33−3300−33−3300002i−2i2i−2i00000000i3−i300000000i3−i3−ii−ii0000
χ4822-2-22-2-1222-2-21-2-2-121-1-112-211-1-12-112-2-1-11-211-1100-11−3300−33−33−3300−33−330000−2i2i−2i2i00000000−i3i300000000−i3i3i−ii−i0000
χ4922-2-2-22222-22-2-2-2-222-22-22-22-2-2222-22-2222-2-2-2-2-2200-22000000000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ5022-2-2-22222-22-2-2-2-222-22-22-22-2-2222-22-2222-2-2-2-2-2200-2200000000000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ5122-2-2-2222-22-22-2-2-222-22-22-22-2-22-2-22-22-2-2-22222-22002-200000000000000002-2-22000000000000002-2-2200000000000000
χ5222-2-2-2222-22-22-2-2-222-22-22-22-2-22-2-22-22-2-2-22222-22002-20000000000000000-222-200000000000000-222-200000000000000
χ5322-2-2-222-1-22-22-2112-1-2-1-221-111-1-212-2-11112-1-1-11-100-1100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i32-2-2200000000000000-111-1−i3i3i3−i30000000000
χ5422-2-2-222-1-22-22-2112-1-2-1-221-111-1-212-2-11112-1-1-11-100-1100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i3-222-2000000000000001-1-11i3−i3−i3i30000000000
χ5522-2-2-222-1-22-22-2112-1-2-1-221-111-1-212-2-11112-1-1-11-100-1100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i32-2-2200000000000000-111-1i3−i3−i3i30000000000
χ5622-2-2-222-1-22-22-2112-1-2-1-221-111-1-212-2-11112-1-1-11-100-1100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i3-222-2000000000000001-1-11−i3i3i3−i30000000000
χ5722-2-2-22-122-22-21-2-2-121-11-1-2211-1-121-1-22-1-11-2111-1001-13−3003−33−3−3300−33−3300002i−2i−2i2i00000000−i3i300000000i3−i3−iii−i0000
χ5822-2-2-22-122-22-21-2-2-121-11-1-2211-1-121-1-22-1-11-2111-1001-13−3003−33−3−3300−33−330000−2i2i2i−2i00000000i3−i300000000−i3i3i−i−ii0000
χ5922-2-2-22-122-22-21-2-2-121-11-1-2211-1-121-1-22-1-11-2111-1001-1−3300−33−333−3003−33−300002i−2i−2i2i00000000i3−i300000000−i3i3−iii−i0000
χ6022-2-2-22-122-22-21-2-2-121-11-1-2211-1-121-1-22-1-11-2111-1001-1−3300−33−333−3003−33−30000−2i2i2i−2i00000000−i3i300000000i3−i3i−i−ii0000
χ614444444-2-4-4-4-44-2-24-24-244-2-2-2-2-2-42-4-42222-4222-2-200220000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-244-24-2-2-2-244-2-2-22-422-4-4222-422-2-200220000000000000000000000000000000000000000000000000000
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
χ674444-4-44-2-444-44-2-24-24-2-4-422-2-2-2-4244-2-222-42222200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-244-24-2-222-4-4-2-2-22-4-2-244222-4222200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-2222211-2-211-1-14-4-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222111-2-2222211-2-211-1-1-44-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-21222211122-2-2-2-2-1-122-1-1-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-21222211122-2-2-2-2-1-122-1-1-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ7344-4-44-44-244-4-4-4224-2-4-24-4-2222-24-24-4-22-2-2-4222-2200-220000000000000000000000000000000000000000000000000000
χ7444-4-44-4-24-4-4442-4-4-242-2-224-422-22-42-2-4422-24-2-2-22002-20000000000000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4222-2-221-22-22-1-11-2-2-22-221122-1-11-1001-123−2300−33−3323−2300−33−33000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-4222-2-221-22-22-1-11-2-2-22-221122-1-11-1001-1−2323003−33−3−2323003−33−3000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444222-2-221-22-22-1-11222-22-2-1-1-2-2111-100-1100−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-444222-2-221-22-22-1-11222-22-2-1-1-2-2111-100-11002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ7944-4-4-444-24-44-4-4224-2-4-2-442-222-24-2-442-2-2-2-42222-2002-20000000000000000000000000000000000000000000000000000
χ8044-4-4-44-24-44-442-4-4-242-22-2-4422-22-4-224-422-24-2-22-200-220000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4222-2-2212-22-2-1-11-2-22-22-21122-1-1-1100-1123−2300−33−33−2323003−33−3000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4222-2-2212-22-2-1-11-2-22-22-21122-1-1-1100-11−2323003−33−323−2300−33−33000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44222-2-2212-22-2-1-1122-22-22-1-1-2-211-11001-100−2i32i3i3i3−i3−i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44222-2-2212-22-2-1-1122-22-22-1-1-2-211-11001-1002i3−2i3−i3−i3i3i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
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
χ918-88-800-4-40000-4-44444200002-2-20000006i−6i006i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4-44444200002-2-2000000−6i6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-4-848-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-884-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-444-420000-22-20000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-444-420000-22-2000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000000000

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