Finite Group Databasebeta

← Group #11788717

Character table — Group #11788717

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222233444466121212123666666666121212121212121212124466121212121212121212121212121212121212224488884444661212121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ911-11-11111-1-11111-1-11-11-1-11-1-11-11-111-111-1-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−ii−i1-111-1-1ii−i−i11-1-1ii−i−iii−i−i1-1
χ1011-11-11111-1-11111-1-11-11-1-11-1-11-11-111-111-1-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iiii−i-1111-1-1ii−i−i-1-111−i−iii−i−iii-11
χ1111-11-11111-1-11111-1-11-11-1-11-1-11-11-111-111-1-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i−ii1-1-1-111−i−iii11-1-1ii−i−i−i−iii-11
χ1211-11-11111-1-11111-1-11-11-1-11-1-11-11-111-111-1-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii−ii-11-1-111−i−iii-1-111−i−iiiii−i−i1-1
χ1311-11-11111-1-11111-1-11-11-1-11-1-11-11-111-111-1-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i−ii-1111-1-1−i−iii-1-111ii−i−iii−i−i-11
χ1411-11-11111-1-11111-1-11-11-1-11-1-11-11-111-111-1-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii−ii1-111-1-1−i−iii11-1-1−i−iii−i−iii1-1
χ1511-11-11111-1-11111-1-11-11-1-11-1-11-11-111-111-1-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−ii−i-11-1-111ii−i−i-1-111ii−i−i−i−iii1-1
χ1611-11-11111-1-11111-1-11-11-1-11-1-11-11-111-111-1-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iiii−i1-1-1-111ii−i−i11-1-1−i−iiiii−i−i-11
χ172222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000002-22-2000000002-22-2000000000000000000
χ182222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000-22-2200000000-22-22000000000000000000
χ19222222-122222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ20222222-122222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ21222222-122222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2111111-2-211111122220000-2-200-1-1-1-1111100000000000000
χ22222222-122222-122-1-1-12-12-1-1-1-12-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2111111-2-2111111-2-2-2-2000022001111-1-1-1-100000000000000
χ23222222-1-2-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-11100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i32-22-200000000-11-11−i3i3−i3i300000000000000
χ24222222-1-2-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-11100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-22-22000000001-11-1i3−i3i3−i300000000000000
χ25222222-1-2-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-11100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i32-22-200000000-11-11i3−i3i3−i300000000000000
χ26222222-1-2-2-2-22-1-2-211-12-12-1-1-1-12-1-2-21111111-200-1-11100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-22-22000000001-11-1−i3i3−i3i300000000000000
χ2722222-122222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-12-1-12-1-1-1-12-1-12-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ2822222-122222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-12-1-12-1-1-1-12-1-12-1-10000-2-2-2-200-2-20000000011111111000000
χ2922222-122222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-111-211-21111-211-2110000222200-2-2000000001111-1-1-1-1000000
χ3022222-122222-12-1-122-1-12-12-1-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-111-211-21111-211-2110000-2-2-2-2002200000000-1-1-1-11111000000
χ31222-2-2222-22-22222222-2-222222-2-2-222-2-22222-200-2-2-2-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ32222-2-2222-22-22222222-2-222222-2-2-222-2-22222-200-2-2-2-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ33222-2-222-22-2222-2-2-2-22-2-222222-2-22-2-222-2-2-2-2200-2-222000000000000000000000000000000000000000000002-22-200
χ34222-2-222-22-2222-2-2-2-22-2-222222-2-22-2-222-2-2-2-2200-2-22200000000000000000000000000000000000000000000-22-2200
χ35222-2-2-122-22-2-12-1-122-11-2-12-1-1-11-21-12-2-2-1-1-1-11001111−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300002i−2i2i−2i0000000000003−33−3−ii−ii000000
χ36222-2-2-122-22-2-12-1-122-11-2-12-1-1-11-21-12-2-2-1-1-1-11001111−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000−2i2i−2i2i000000000000−33−33i−ii−i000000
χ37222-2-2-122-22-2-12-1-122-11-2-12-1-1-11-21-12-2-2-1-1-1-11001111i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300002i−2i2i−2i000000000000−33−33−ii−ii000000
χ38222-2-2-122-22-2-12-1-122-11-2-12-1-1-11-21-12-2-2-1-1-1-11001111i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000−2i2i−2i2i0000000000003−33−3i−ii−i000000
χ3922-22-222-2-22222-2-2222-22-2-22-2-22-2-22-2-22-2-2222002-2-2200000000000000002-2-22000000002-2-22000000000000000000
χ4022-22-222-2-22222-2-2222-22-2-22-2-22-2-22-2-22-2-2222002-2-220000000000000000-222-200000000-222-2000000000000000000
χ4122-22-22-122-2-22-12211-1-2-1-21-111212-2-1-11-1-111-22i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii22-2-200002i−2i00-1-111−i−iii00000000000000
χ4222-22-22-122-2-22-12211-1-2-1-21-111212-2-1-11-1-111-22i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii-2-2220000−2i2i0011-1-1ii−i−i00000000000000
χ4322-22-22-122-2-22-12211-1-2-1-21-111212-2-1-11-1-111-2−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i22-2-20000−2i2i00-1-111ii−i−i00000000000000
χ4422-22-22-122-2-22-12211-1-2-1-21-111212-2-1-11-1-111-2−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i-2-22200002i−2i0011-1-1−i−iii00000000000000
χ4522-22-22-1-2-2222-1-2-2-1-1-1-2-1-21-11121-2211-111-1-1200-111-100333−3−3−300−3−3−33332-2-2200000000-111-13−3−3300000000000000
χ4622-22-22-1-2-2222-1-2-2-1-1-1-2-1-21-11121-2211-111-1-1200-111-100333−3−3−300−3−3−3333-222-2000000001-1-11−333−300000000000000
χ4722-22-22-1-2-2222-1-2-2-1-1-1-2-1-21-11121-2211-111-1-1200-111-100−3−3−333300333−3−3−32-2-2200000000-111-1−333−300000000000000
χ4822-22-22-1-2-2222-1-2-2-1-1-1-2-1-21-11121-2211-111-1-1200-111-100−3−3−333300333−3−3−3-222-2000000001-1-113−3−3300000000000000
χ4922-22-2-1222-2-2-12-1-1-2-2-1121-2-111-1-2-1122-2-1-11112i−2i-11-11−i−i2i−i−i2i−i−iii−2iii−2iii00002i2i−2i−2i002-200000000-1-111−i−iii000000
χ5022-22-2-1222-2-2-12-1-1-2-2-1121-2-111-1-2-1122-2-1-11112i−2i-11-11−i−i2i−i−i2i−i−iii−2iii−2iii0000−2i−2i2i2i00-220000000011-1-1ii−i−i000000
χ5122-22-2-1222-2-2-12-1-1-2-2-1121-2-111-1-2-1122-2-1-1111−2i2i-11-11ii−2iii−2iii−i−i2i−i−i2i−i−i00002i2i−2i−2i00-220000000011-1-1−i−iii000000
χ5222-22-2-1222-2-2-12-1-1-2-2-1121-2-111-1-2-1122-2-1-1111−2i2i-11-11ii−2iii−2iii−i−i2i−i−i2i−i−i0000−2i−2i2i2i002-200000000-1-111ii−i−i000000
χ5322-2-22222-2-222222-2-222-2-2-22-2-2-22-2-22-2222-2-2200-22-22000000000000000000002-2-2200000000000000002-2-22000000
χ5422-2-22222-2-222222-2-222-2-2-22-2-2-22-2-22-2222-2-2200-22-2200000000000000000000-222-20000000000000000-222-2000000
χ5522-2-2222-222-222-2-22222-2-2-22-2-2-2222-22-2-2-222-200-222-2000000000000000000000000000000000000000000002i−2i−2i2i00
χ5622-2-2222-222-222-2-22222-2-2-22-2-2-2222-22-2-2-222-200-222-200000000000000000000000000000000000000000000−2i2i2i−2i00
χ5722-2-22-122-2-22-12-1-1-2-2-1-1-21-2-11112112-22-1-111-1001-11-13−303−303−3−330−330−3300002-2-22000000000000−333−3-111-1000000
χ5822-2-22-122-2-22-12-1-1-2-2-1-1-21-2-11112112-22-1-111-1001-11-13−303−303−3−330−330−330000-222-20000000000003−3−331-1-11000000
χ5922-2-22-122-2-22-12-1-1-2-2-1-1-21-2-11112112-22-1-111-1001-11-1−330−330−333−303−303−300002-2-220000000000003−3−33-111-1000000
χ6022-2-22-122-2-22-12-1-1-2-2-1-1-21-2-11112112-22-1-111-1001-11-1−330−330−333−303−303−30000-222-2000000000000−333−31-1-11000000
χ6144444-24-4-4-4-4-2422-4-4-2-24-24-2-2-2-2422-4-4-42222200-2-22200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2441111-2-2-211-211-2-2-211-2110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-41111222-1-12-1-1222-1-12-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-120011-1-100−2i3i3i32i3−i3−i300−2i3i3i32i3−i3−i30000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-222222-1-1-1-120011-1-1002i3−i3−i3−2i3i3i3002i3−i3−i3−2i3i3i30000000000000000000000000000000000
χ66444-4-44-24-44-44-244-2-2-2-424-2-2-2-2-42-44-222-2-2-2-2-400222200000000000000000000000000000000000000000000000000
χ67444-4-44-2-44-444-2-4-422-2-424-2-2-2-2-424-42-2-2222240022-2-200000000000000000000000000000000000000000000000000
χ68444-4-4-24-44-44-2422-4-4-22-4-24-2-2-22-4-22-4442222-20022-2-200000000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-2122-2-2111222-2-2221111200-1-1-1-1−2i32i30i3−i30i3−i3−2i32i30i3−i30i3−i30000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-2122-2-2111222-2-2221111200-1-1-1-12i3−2i30−i3i30−i3i32i3−2i30−i3i30−i3i30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-22222122-2-211122-222-2-2-1-1-1-1-200-1-1110003-30-330003-30-330000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-22222122-2-211122-222-2-2-1-1-1-1-200-1-111000-3303-3000-3303-30000000000000000000000000000000000
χ7344-44-4-24-4-444-242244-2242-4-222-2-42-2-4-4422-2-2-200-222-200000000000000000000000000000000000000000000000000
χ7444-44-4-2-244-4-4-2-2-2-22212-2221-1-1-22-22-2-2211-1-124i−4i1-11-1−2i−2i−2iii−2iii2i2i2i−i−i2i−i−i0000000000000000000000000000000000
χ7544-44-4-2-244-4-4-2-2-2-22212-2221-1-1-22-22-2-2211-1-12−4i4i1-11-12i2i2i−i−i2i−i−i−2i−2i−2iii−2iii0000000000000000000000000000000000
χ7644-44-4-2-2-4-444-2-222-2-212-2221-1-1-222-222-2-1-111-2001-1-110023−3−3−233300−233323−3−30000000000000000000000000000000000
χ7744-44-4-2-2-4-444-2-222-2-212-2221-1-1-222-222-2-1-111-2001-1-1100−233323−3−30023−3−3−23330000000000000000000000000000000000
χ7844-4-444-24-4-444-24422-242-42-222-4-2-4-4-22-2-2-2224002-22-200000000000000000000000000000000000000000000000000
χ7944-4-444-2-444-44-2-4-4-2-2-242-42-222-4-2442-2222-2-2-4002-2-2200000000000000000000000000000000000000000000000000
χ8044-4-44-24-444-4-242244-2-2-42-4-22224-2-2-44-422-2-22002-2-2200000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4-44-2-2-2-2221-22221-1-12-222-22-211-1-1-200-11-1123−230−330−33−232303−303−30000000000000000000000000000000000
χ8244-4-44-2-24-4-44-2-2-2-2221-22221-1-12-222-22-211-1-1-200-11-11−232303−303−323−230−330−330000000000000000000000000000000000
χ8344-4-44-2-2-444-4-2-222-2-21-22221-1-12-2-2-22-22-1-111200-111-10003i−3i0−3i3i000−3i3i03i−3i0000000000000000000000000000000000
χ8444-4-44-2-2-444-4-2-222-2-21-22221-1-12-2-2-22-22-1-111200-111-1000−3i3i03i−3i0003i−3i0−3i3i0000000000000000000000000000000000
χ858-8000880000-8-8000080000-80000000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000-840043−43-4000040000000000043−43000000000000000000000000000000000000000000000000000000000
χ878-80008-40000-8400−4343-40000400000000000−4343000000000000000000000000000000000000000000000000000000000
χ888-8000-4800004-843−4300-40000400000000043−4300000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004-8−434300-400004000000000−434300000000000000000000000000000000000000000000000000000000000
χ908-8000-4-400004443−4343−4320000-26-60000000−2323−2323000000000000000000000000000000000000000000000000000000000
χ918-8000-4-400004443−43−434320000-2-660000000−232323−23000000000000000000000000000000000000000000000000000000000
χ928-8000-4-4000044−434343−4320000-2-66000000023−23−2323000000000000000000000000000000000000000000000000000000000
χ938-8000-4-4000044−4343−434320000-26-6000000023−2323−23000000000000000000000000000000000000000000000000000000000

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