Finite Group Databasebeta

← Group #11788851

Character table — Group #11788851

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order1222222223366666636666666666666666666446666121212121212121212121212121212122244444424446666121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1
χ91111-1-1-11-11111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−i1-1i−i1-1111-1-1-1ii−i−iii−i−iii−i−i1-1
χ101111-1-1-11-11111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−iii-11i−i1-1-1-11-111ii−i−i−i−iii−i−iii-11
χ111111-1-1-11-11111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11ii−i−i1-1−ii-1111-11-1-1−i−iiiii−i−i−i−iii-11
χ121111-1-1-11-11111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iii-11−ii-11-1-1-1111−i−iii−i−iiiii−i−i1-1
χ131111-1-1-11-11111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1ii−i−i-11−ii1-1-1-11-111−i−iiiii−i−iii−i−i-11
χ141111-1-1-11-11111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii1-1−ii1-1111-1-1-1−i−iii−i−iii−i−iii1-1
χ151111-1-1-11-11111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i-11i−i-11-1-1-1111ii−i−iii−i−i−i−iii1-1
χ161111-1-1-11-11111-1-111111111-1-1-1111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−iii1-1i−i-1111-11-1-1ii−i−i−i−iiiii−i−i-11
χ172222222222-122-1-12-1-122-1-1-122-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200000022-1-100-1-100-1-1-1-10000000000
χ182222222222-122-1-12-1-122-1-1-122-1-1-1-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000000-2-21100110011110000000000
χ192222222222-122-1-12-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-21111112222000000-2-2-1-100-1-10011110000000000
χ202222222222-122-1-12-1-122-1-1-122-1-1-1-1-1-12-1-1-12-1-2-2-1-1-1-1-2-2111111-2-2111111-2-2-2-20000002211001100-1-1-1-10000000000
χ21222222222-12-1-122-12-1-1-1222-1-12-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222220000-1-100-1-10000-1-1-1-1000000
χ22222222222-12-1-122-12-1-1-1222-1-12-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2-2-2000011001100001111000000
χ23222222222-12-1-122-12-1-1-1222-1-12-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-2111100002222-2-200001100110000-1-1-1-1000000
χ24222222222-12-1-122-12-1-1-1222-1-12-1-1-1-1-1-12-1-1-12-2-2-1-1-1-111-2-2111111-2-211110000-2-2-2-2220000-1-100-1-100001111000000
χ252222-2-2-22-22-122112-1-122-1-1-1-2-21-1-1-111-2111-212i−2i-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii2-22-20000002i−2i-1100-1100−i−iii0000000000
χ262222-2-2-22-22-122112-1-122-1-1-1-2-21-1-1-111-2111-212i−2i-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii-22-22000000−2i2i1-1001-100ii−i−i0000000000
χ272222-2-2-22-22-122112-1-122-1-1-1-2-21-1-1-111-2111-21−2i2i-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-22-2000000−2i2i-1100-1100ii−i−i0000000000
χ282222-2-2-22-22-122112-1-122-1-1-1-2-21-1-1-111-2111-21−2i2i-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i-22-220000002i−2i1-1001-100−i−iii0000000000
χ292222-2-2-22-2-12-1-1-2-2-12-1-1-122211-2-1-1-1111-2111-22i−2i-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii00002i2i−2i−2i2-20000-1-100110000−i−iii000000
χ302222-2-2-22-2-12-1-1-2-2-12-1-1-122211-2-1-1-1111-2111-22i−2i-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000−2i−2i2i2i-2200001100-1-10000ii−i−i000000
χ312222-2-2-22-2-12-1-1-2-2-12-1-1-122211-2-1-1-1111-2111-2−2i2i-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i00002i2i−2i−2i-2200001100-1-10000−i−iii000000
χ322222-2-2-22-2-12-1-1-2-2-12-1-1-122211-2-1-1-1111-2111-2−2i2i-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000−2i−2i2i2i2-20000-1-100110000ii−i−i000000
χ33222-222-2-2-2222222222-2-22-2-22-2-2222222222-2-200-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i00
χ34222-222-2-2-2222222222-2-22-2-22-2-2222222222-2-200-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i00
χ35222-2-2-22-222222-2-2222-2-22-2-2-222222-2-2-2-2-2-22200-2-222000000000000000000000000000000000000000000002-2-2200
χ36222-2-2-22-222222-2-2222-2-22-2-2-222222-2-2-2-2-2-22200-2-22200000000000000000000000000000000000000000000-222-200
χ3722-222-22-2-222-2-2222222-2-22-222-22-2-222-2-2-2-2-22002-22-2000000000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000
χ3822-222-22-2-222-2-2222222-2-22-222-22-2-222-2-2-2-2-22002-22-200000000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000
χ3922-222-22-2-2-121122-12-1-11-22-2-1-1-2-111-1-11-2111200-11-113−30033−3−33−30033−3−300002i−2i2i−2i000000−i3i300−i3i30000−ii−ii000000
χ4022-222-22-2-2-121122-12-1-11-22-2-1-1-2-111-1-11-2111200-11-113−30033−3−33−30033−3−30000−2i2i−2i2i000000i3−i300i3−i30000i−ii−i000000
χ4122-222-22-2-2-121122-12-1-11-22-2-1-1-2-111-1-11-2111200-11-11−3300−3−333−3300−3−33300002i−2i2i−2i000000i3−i300i3−i30000−ii−ii000000
χ4222-222-22-2-2-121122-12-1-11-22-2-1-1-2-111-1-11-2111200-11-11−3300−3−333−3300−3−3330000−2i2i−2i2i000000−i3i300−i3i30000i−ii−i000000
χ4322-22-22-2-2222-2-2-2-22222-2-22-2-2-222-2-2-2-222222-2002-2-22000000000000000000002-2-2200000000000000002-2-22000000
χ4422-22-22-2-2222-2-2-2-22222-2-22-2-2-222-2-2-2-222222-2002-2-2200000000000000000000-222-20000000000000000-222-2000000
χ4522-22-22-2-22-1211-2-2-12-1-11-22-2112-11111-12-1-1-1-200-111-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i300002-2-22000000−i3i300i3−i30000-111-1000000
χ4622-22-22-2-22-1211-2-2-12-1-11-22-2112-11111-12-1-1-1-200-111-1−i3i300−i3−i3i3i3i3−i300i3i3−i3−i30000-222-2000000i3−i300−i3i300001-1-11000000
χ4722-22-22-2-22-1211-2-2-12-1-11-22-2112-11111-12-1-1-1-200-111-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i300002-2-22000000i3−i300−i3i30000-111-1000000
χ4822-22-22-2-22-1211-2-2-12-1-11-22-2112-11111-12-1-1-1-200-111-1i3−i300i3i3−i3−i3−i3i300−i3−i3i3i30000-222-2000000−i3i300i3−i300001-1-11000000
χ4922-2-22-2-22222-2-222222-22-2-222-222-2-222-2-2-2-22-200-22-22000000000000000022-2-2000000002200-2-20000000000000000
χ5022-2-22-2-22222-2-222222-22-2-222-222-2-222-2-2-2-22-200-22-220000000000000000-2-22200000000-2-200220000000000000000
χ5122-2-22-2-2222-1-2-2-1-12-1-1-2211-12-2-1-111-1-1-211121001-11-1003−33−33−3003−33−33−322-2-200000000-1-10011003−33−30000000000
χ5222-2-22-2-2222-1-2-2-1-12-1-1-2211-12-2-1-111-1-1-211121001-11-1003−33−33−3003−33−33−3-2-222000000001100-1-100−33−330000000000
χ5322-2-22-2-2222-1-2-2-1-12-1-1-2211-12-2-1-111-1-1-211121001-11-100−33−33−3300−33−33−3322-2-200000000-1-1001100−33−330000000000
χ5422-2-22-2-2222-1-2-2-1-12-1-1-2211-12-2-1-111-1-1-211121001-11-100−33−33−3300−33−33−33-2-222000000001100-1-1003−33−30000000000
χ5522-2-2-2222-222-2-2-2-2222-22-2-22-22-22-2-2-2-22222-2200-222-200000000000000002-2-22000000002-200-220000000000000000
χ5622-2-2-2222-222-2-2-2-2222-22-2-22-22-22-2-2-2-22222-2200-222-20000000000000000-222-200000000-22002-20000000000000000
χ5722-2-2-2222-22-1-2-2112-1-1-2211-1-221-111112-1-1-1-2-1001-1-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i32-2-2200000000-11001-100−i3i3i3−i30000000000
χ5822-2-2-2222-22-1-2-2112-1-1-2211-1-221-111112-1-1-1-2-1001-1-1100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3-222-2000000001-100-1100i3−i3−i3i30000000000
χ5922-2-2-2222-22-1-2-2112-1-1-2211-1-221-111112-1-1-1-2-1001-1-1100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i32-2-2200000000-11001-100i3−i3−i3i30000000000
χ6022-2-2-2222-22-1-2-2112-1-1-2211-1-221-111112-1-1-1-2-1001-1-1100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3-222-2000000001-100-1100−i3i3i3−i30000000000
χ61444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2441111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ62444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-2-211-2-2-4-411112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ634444-4-4-44-4-2-2-2-222-2-21-2-2-2-2-2222111-1-122-1-1224i−4i11-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ644444-4-4-44-4-2-2-2-222-2-21-2-2-2-2-2222111-1-122-1-122−4i4i11-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ65444-444-4-4-44-244-2-24-2-2-4-4-2224-42-2-2-2-2-24-2-2-2-4200222200000000000000000000000000000000000000000000000000
χ66444-444-4-4-4-24-2-244-24-2224-4-4-22-4-2-2-2-2-2-24-2-22-400222200000000000000000000000000000000000000000000000000
χ67444-444-4-4-4-2-2-2-2-2-2-2-2122-222-22211111-2-2112200-1-1-1-100003-3-3300003-3-330000000000000000000000000000000000
χ68444-444-4-4-4-2-2-2-2-2-2-2-2122-222-22211111-2-2112200-1-1-1-10000-333-30000-333-30000000000000000000000000000000000
χ69444-4-4-44-444-244224-2-2-4-4-222-44-2-2-2-222-42224-20022-2-200000000000000000000000000000000000000000000000000
χ70444-4-4-44-44-24-2-2-4-4-24-2224-4-42-24-2-2-2222-422-240022-2-200000000000000000000000000000000000000000000000000
χ71444-4-4-44-44-2-2-2-222-2-2122-2222-2-2111-1-122-1-1-2-200-1-11100003i−3i−3i3i0000−3i3i3i−3i0000000000000000000000000000000000
χ72444-4-4-44-44-2-2-2-222-2-2122-2222-2-2111-1-122-1-1-2-200-1-1110000−3i3i3i−3i00003i−3i−3i3i0000000000000000000000000000000000
χ7344-444-44-4-44-2-4-4-2-24-2-24-42-22442-222-2-2-4222-4-200-22-2200000000000000000000000000000000000000000000000000
χ7444-444-44-4-4-2-222-2-2-2-21-222-22-2-221-1-11122-1-12-2001-11-123−2300−3−33323−2300−3−3330000000000000000000000000000000000
χ7544-444-44-4-4-2-222-2-2-2-21-222-22-2-221-1-11122-1-12-2001-11-1−23230033−3−3−23230033−3−30000000000000000000000000000000000
χ7644-44-44-4-444-2-4-4224-2-24-42-22-4-4-2-222224-2-2-24200-222-200000000000000000000000000000000000000000000000000
χ7744-44-44-4-44-2-22222-2-21-222-2222-21-1-1-1-1-2-211-22001-1-11−2i32i300i3i3−i3−i32i3−2i300−i3−i3i3i30000000000000000000000000000000000
χ7844-44-44-4-44-2-22222-2-21-222-2222-21-1-1-1-1-2-211-22001-1-112i3−2i300−i3−i3i3i3−2i32i300i3i3−i3−i30000000000000000000000000000000000
χ7944-4-44-4-444-242244-24-22-2-4-44-224-222-2-22-422-2-4002-22-200000000000000000000000000000000000000000000000000
χ8044-4-44-4-444-2-222-2-2-2-212-222-2-22-21-1-11122-1-1-2200-11-110023−23−33−330023−23−33−330000000000000000000000000000000000
χ8144-4-44-4-444-2-222-2-2-2-212-222-2-22-21-1-11122-1-1-2200-11-1100−23233−33−300−23233−33−30000000000000000000000000000000000
χ8244-4-4-4444-4-2422-4-4-24-22-2-4-442-2-4-22222-24-2-224002-2-2200000000000000000000000000000000000000000000000000
χ8344-4-4-4444-4-2-22222-2-212-222-22-221-1-1-1-1-2-2112-200-111-100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ8444-4-4-4444-4-2-22222-2-212-222-22-221-1-1-1-1-2-2112-200-111-1002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ858-80000000880000-8-8800000000-8000000000000000000000000000000000000000000000000000000000000000000
χ868-800000008-400−4i34i3-84-400000000400−4i34i300000000000000000000000000000000000000000000000000000000000000
χ878-800000008-4004i3−4i3-84-4000000004004i3−4i300000000000000000000000000000000000000000000000000000000000000
χ888-80000000-48−4i34i3004-8-4000000004−4i34i30000000000000000000000000000000000000000000000000000000000000000
χ898-80000000-484i3−4i3004-8-40000000044i3−4i30000000000000000000000000000000000000000000000000000000000000000
χ908-80000000-4-4−4i34i3−4i34i344200000000-22i3−2i32i3−2i3006-60000000000000000000000000000000000000000000000000000000000
χ918-80000000-4-4−4i34i34i3−4i344200000000-22i3−2i3−2i32i300-660000000000000000000000000000000000000000000000000000000000
χ928-80000000-4-44i3−4i3−4i34i344200000000-2−2i32i32i3−2i300-660000000000000000000000000000000000000000000000000000000000
χ938-80000000-4-44i3−4i34i3−4i344200000000-2−2i32i3−2i32i3006-60000000000000000000000000000000000000000000000000000000000

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