Finite Group Databasebeta

← Group #11791877

Character table — Group #11791877

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666663666666688881212121212121212121212126612122424242424242424242424242424242444444444888812121212121212122424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ711111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ811111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ911111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−i
χ1011111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-1ii−i−i
χ1111111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-11−i−iii
χ1211111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-11−i−iii
χ1311111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1−i−iii
χ1411111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1−i−iii
χ1511111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-11ii−i−i
χ1611111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-11ii−i−i
χ172222222-122222-12-12-1-122-1-1-1-1-1222222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ182222222-122222-12-12-1-122-1-1-1-1-1222222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-20000111100001111000000
χ192222222-122222-12-12-1-122-1-1-1-1-1-2-2-2-222-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110000002200-2-20000-1-1-1-100001111000000
χ202222222-122222-12-12-1-122-1-1-1-1-1-2-2-2-222-1-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111000000-2-20022000011110000-1-1-1-1000000
χ212222222-1-2-2-2-22-12-12-1-122-1-1-1-1-12i2i−2i−2i-2-21111-2111-21-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000002-2002i−2i0000-1-1110000−i−iii000000
χ222222222-1-2-2-2-22-12-12-1-122-1-1-1-1-12i2i−2i−2i-2-21111-2111-21-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii000000-2200−2i2i000011-1-10000ii−i−i000000
χ232222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1−2i−2i2i2i-2-21111-2111-21-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000002-200−2i2i0000-1-1110000ii−i−i000000
χ242222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1−2i−2i2i2i-2-21111-2111-21-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000-22002i−2i000011-1-10000−i−iii000000
χ25222222-122222-12-12-12-1-1-122-1-1-12222-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ26222222-122222-12-12-12-1-1-122-1-1-12222-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-200-2-2001111000011110000000000
χ27222222-122222-12-12-12-1-1-122-1-1-1-2-2-2-2-1-122-1-1-12-1-1-12-1-1-1-111-2-2111111-2-2111100002200-2-200-1-1-1-1000011110000000000
χ28222222-122222-12-12-12-1-1-122-1-1-1-2-2-2-2-1-122-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211110000-2-200220011110000-1-1-1-10000000000
χ29222222-12-2-2-2-2-12-12-12-1-1-122-1-1-12i2i−2i−2i11-2-2111-2111-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii00002-2002i−2i00-1-1110000−i−iii0000000000
χ30222222-12-2-2-2-2-12-12-12-1-1-122-1-1-12i2i−2i−2i11-2-2111-2111-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2200−2i2i0011-1-10000ii−i−i0000000000
χ31222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1−2i−2i2i2i11-2-2111-2111-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i00002-200−2i2i00-1-1110000ii−i−i0000000000
χ32222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1−2i−2i2i2i11-2-2111-2111-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-22002i−2i0011-1-10000−i−iii0000000000
χ332222-2-2222-22-22222222-2-2-2-222200002-22-2-2-2-2-2-2-222-2-222000000000000000022-2-2000000000000000000000000-220000
χ342222-2-2222-22-22222222-2-2-2-222200002-22-2-2-2-2-2-2-222-2-2220000000000000000-2-2220000000000000000000000002-20000
χ352222-2-222-22-222222222-2-2-2-22220000-22-22222222-2-2-2-2-2-200000000000000002222000000000000000000000000-2-20000
χ362222-2-222-22-222222222-2-2-2-22220000-22-22222222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000220000
χ3722-2-22-22222-2-2-2-222-2-222-22-2-2-222-22-22-22-2-2-22222-2-22-22-22-22-222-2-22-22-222-2-20000000000000000000000000000000000
χ3822-2-22-22222-2-2-2-222-2-222-22-2-2-22-22-222-22-2-2-22222-2-22-22-2-22-22-2-222-22-22-2-2220000000000000000000000000000000000
χ3922-2-22-222-2-222-2-222-2-222-22-2-2-222i−2i−2i2i-22-2222-2-2-2-2222-2-222i−2i2i−2i2i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4022-2-22-222-2-222-2-222-2-222-22-2-2-22−2i2i2i−2i-22-2222-2-2-2-2222-2-22−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4122-2-22-22-122-2-2-212-1-21-12-2-1111-12-22-22-2-11112-1-1-1-21-11-112-2-11-1-1112-2-11-1-11100000000000000003−33−300003−33−3000000
χ4222-2-22-22-122-2-2-212-1-21-12-2-1111-12-22-22-2-11112-1-1-1-21-11-112-2-11-1-1112-2-11-1-1110000000000000000−33−330000−33−33000000
χ4322-2-22-22-122-2-2-212-1-21-12-2-1111-1-22-222-2-11112-1-1-1-21-11-11-221-111-1-1-221-111-1-100000000000000003−33−30000−33−33000000
χ4422-2-22-22-122-2-2-212-1-21-12-2-1111-1-22-222-2-11112-1-1-1-21-11-11-221-111-1-1-221-111-1-10000000000000000−33−3300003−33−3000000
χ4522-2-22-22-1-2-222-212-1-21-12-2-1111-12i−2i−2i2i-221-1-1-1-21112-1-111-12i−2i−ii−i−iii−2i2ii−iii−i−i00000000000000003−3−330000i3−i3−i3i3000000
χ4622-2-22-22-1-2-222-212-1-21-12-2-1111-12i−2i−2i2i-221-1-1-1-21112-1-111-12i−2i−ii−i−iii−2i2ii−iii−i−i0000000000000000−333−30000−i3i3i3−i3000000
χ4722-2-22-22-1-2-222-212-1-21-12-2-1111-1−2i2i2i−2i-221-1-1-1-21112-1-111-1−2i2ii−iii−i−i2i−2i−ii−i−iii00000000000000003−3−330000−i3i3i3−i3000000
χ4822-2-22-22-1-2-222-212-1-21-12-2-1111-1−2i2i2i−2i-221-1-1-1-21112-1-111-1−2i2ii−iii−i−i2i−2i−ii−i−iii0000000000000000−333−30000i3−i3−i3i3000000
χ4922-2-22-2-1222-2-21-2-121-2-1-112-211-12-22-2-112-211-12-1-11-2-11-11-112-2-1-111-112-2-1-1110000000000003−33−300003−33−30000000000
χ5022-2-22-2-1222-2-21-2-121-2-1-112-211-12-22-2-112-211-12-1-11-2-11-11-112-2-1-111-112-2-1-111000000000000−33−330000−33−330000000000
χ5122-2-22-2-1222-2-21-2-121-2-1-112-211-1-22-22-112-211-12-1-11-2-11-111-1-2211-1-11-1-2211-1-10000000000003−33−30000−33−330000000000
χ5222-2-22-2-1222-2-21-2-121-2-1-112-211-1-22-22-112-211-12-1-11-2-11-111-1-2211-1-11-1-2211-1-1000000000000−33−3300003−33−30000000000
χ5322-2-22-2-12-2-2221-2-121-2-1-112-211-12i−2i−2i2i1-1-22-1-11-211-12-111-1−ii2i−2i−i−iiii−i−2i2iii−i−i0000000000003−3−330000i3−i3−i3i30000000000
χ5422-2-22-2-12-2-2221-2-121-2-1-112-211-12i−2i−2i2i1-1-22-1-11-211-12-111-1−ii2i−2i−i−iiii−i−2i2iii−i−i000000000000−333−30000−i3i3i3−i30000000000
χ5522-2-22-2-12-2-2221-2-121-2-1-112-211-1−2i2i2i−2i1-1-22-1-11-211-12-111-1i−i−2i2iii−i−i−ii2i−2i−i−iii0000000000003−3−330000−i3i3i3−i30000000000
χ5622-2-22-2-12-2-2221-2-121-2-1-112-211-1−2i2i2i−2i1-1-22-1-11-211-12-111-1i−i−2i2iii−i−i−ii2i−2i−i−iii000000000000−333−30000i3−i3−i3i30000000000
χ5722-2-2-22222-2-22-2-222-2-22-22-22-2-220000222222-2-2-2-2-2-2-222-200000000000000000000000000000000000000000000002-22-2
χ5822-2-2-22222-2-22-2-222-2-22-22-22-2-220000222222-2-2-2-2-2-2-222-20000000000000000000000000000000000000000000000-22-22
χ5922-2-2-2222-222-2-2-222-2-22-22-22-2-220000-2-2-2-2-2-2222222-22-2200000000000000000000000000000000000000000000002i−2i−2i2i
χ6022-2-2-2222-222-2-2-222-2-22-22-22-2-220000-2-2-2-2-2-2222222-22-220000000000000000000000000000000000000000000000−2i2i2i−2i
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-21114444-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-4-4-4-4-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21114i4i−4i−4i2222-1-122-1-12211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111−4i−4i4i4i2222-1-122-1-12211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ654444-4-44-24-44-44-24-24-2-2-4-422-2-2-200004-4-2222-42224-222-2-200000000000000000000000000000000000000000000000000
χ664444-4-44-2-44-444-24-24-2-2-4-422-2-2-20000-442-2-2-24-2-2-2-42222200000000000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-24-24-24-222-4-4-2-2-20000-224-4222-422-2422-2-200000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-24-24-24-222-4-4-2-2-200002-2-44-2-2-24-2-22-4222200000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2122221110000-22-22-1-122-1-1-2-2-1-11100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2122221110000-22-22-1-122-1-1-2-2-1-1110000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-21222211100002-22-211-2-21122-1-1-1-100003-33-30000-33-330000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-21222211100002-22-211-2-21122-1-1-1-10000-33-3300003-33-30000000000000000000000000000000000
χ7344-4-44-4-2-244-4-422-2-2221-22-22-1-114-44-4-22-22-1-1-2-211221-11-1-22-2211-1-1-22-2211-1-10000000000000000000000000000000000
χ7444-4-44-4-2-244-4-422-2-2221-22-22-1-11-44-44-22-22-1-1-2-211221-11-12-22-2-1-1112-22-2-1-1110000000000000000000000000000000000
χ7544-4-44-4-2-2-4-44422-2-2221-22-22-1-114i−4i−4i4i2-22-21122-1-1-2-21-1-11−2i2i−2i2iii−i−i2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ7644-4-44-4-2-2-4-44422-2-2221-22-22-1-11−4i4i4i−4i2-22-21122-1-1-2-21-1-112i−2i2i−2i−i−iii−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ7744-4-4-444-24-4-44-424-2-42-2-442-222-2000044-2-2-2-2-4222-422-2-2200000000000000000000000000000000000000000000000000
χ7844-4-4-444-2-444-4-424-2-42-2-442-222-20000-4-422224-2-2-24-22-22-200000000000000000000000000000000000000000000000000
χ7944-4-4-44-244-4-442-4-242-4-22-2-4422-20000-2-244-2-22-4222-42-2-2200000000000000000000000000000000000000000000000000
χ8044-4-4-44-24-444-42-4-242-4-22-2-4422-2000022-4-422-24-2-2-242-22-200000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-4-4422-2-22212-22-2-1-110000-2-2-2-21122-1-122-111-100003i−3i−3i3i00003i−3i−3i3i0000000000000000000000000000000000
χ8244-4-4-44-2-24-4-4422-2-22212-22-2-1-110000-2-2-2-21122-1-122-111-10000−3i3i3i−3i0000−3i3i3i−3i0000000000000000000000000000000000
χ8344-4-4-44-2-2-444-422-2-22212-22-2-1-1100002222-1-1-2-211-2-2-11-1100003-3-330000-333-30000000000000000000000000000000000
χ8444-4-4-44-2-2-444-422-2-22212-22-2-1-1100002222-1-1-2-211-2-2-11-110000-333-300003-3-330000000000000000000000000000000000
χ854-44-40044000044-4-4-4-4400004-4-40000000000000000000000000000000000004-400000000000000000000000000000000
χ864-44-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000-4400000000000000000000000000000000
χ874-4-4400440000-4-4-4-44440000-44-4000000000000000000000000000000000000004-4000000000000000000000000000000
χ884-4-4400440000-4-4-4-44440000-44-400000000000000000000000000000000000000-44000000000000000000000000000000
χ898-88-8008-400008-4-84-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-484-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-4-44444200002-2-2000000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4-44444200002-2-200000000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-848-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-84-8-48-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004444-4-420000-22-2000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004444-4-420000-22-200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000

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