Finite Group Databasebeta

← Group #11787778

Character table — Group #11787778

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12442223344466121212123666666666121212121212121212124466121212121212121212121212121212121212224488882444666612121212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ911-1-1-1-111111-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1-1i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i
χ1011-1-1-1-111111-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-11i−i11-1-1-1-111ii−i−i−i−iii-1-111−i−iii
χ1111-1-1-1-111111-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i1-1−ii-1-11111-1-1−i−iiiii−i−i-1-111−i−iii
χ1211-1-1-1-111111-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1i−i1-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-11−ii-1-1-1-11111−i−iii−i−iii11-1-1ii−i−i
χ1311-1-1-1-111111-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-11−ii11-1-1-1-111−i−iiiii−i−i-1-111ii−i−i
χ1411-1-1-1-111111-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1-1−ii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii
χ1511-1-1-1-111111-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-11i−i-1-1-1-11111ii−i−iii−i−i11-1-1−i−iii
χ1611-1-1-1-111111-111-1-1-1-1111-1-1-11-1-1-11111-1-111-1-1−ii1-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii1-1i−i-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i
χ1722222222-12222-122-1-1-12-1-12-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222220000-1-100-1-10000-1-1-1-100000000
χ1822222222-12222-122-1-1-12-1-12-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-200001100110000111100000000
χ1922222222-12222-122-1-1-12-1-12-1-1-1-1222-1-12-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-211111100002222-2-200001100110000-1-1-1-100000000
χ2022222222-12222-122-1-1-12-1-12-1-1-1-1222-1-12-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-21111110000-2-2-2-2220000-1-100-1-10000111100000000
χ212222222-12222-12-1-122-1-122-12-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200000022-1-100-1-100-1-1-1-1000000000000
χ222222222-12222-12-1-122-1-122-12-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-2110011001111000000000000
χ232222222-12222-12-1-122-1-122-12-1-1-1-1-1-122-12-1-1-1-1-2-2-1-1-1-111-2-2111111-2-211112222000000-2-2-1-100-1-1001111000000000000
χ242222222-12222-12-1-122-1-122-12-1-1-1-1-1-122-12-1-1-1-1-2-2-1-1-1-111-2-2111111-2-21111-2-2-2-20000002211001100-1-1-1-1000000000000
χ2522222-2-2222-2-22222222-2-2-222222-22-22-2-2-2222200-2-2-2-2000000000000000000002-22-200000000000000002-22-200000000
χ2622222-2-2222-2-22222222-2-2-222222-22-22-2-2-2222200-2-2-2-200000000000000000000-22-220000000000000000-22-2200000000
χ2722222-2-22-12-2-22-122-1-1-1-2112-1-1-1-1-22-2-11-21-1-1-1-100111100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300002-22-2000000−i3i300−i3i30000-11-1100000000
χ2822222-2-22-12-2-22-122-1-1-1-2112-1-1-1-1-22-2-11-21-1-1-1-100111100−i3i3−i3−i3i3i300−i3i3−i3−i3i3i30000-22-22000000i3−i300i3−i300001-11-100000000
χ2922222-2-22-12-2-22-122-1-1-1-2112-1-1-1-1-22-2-11-21-1-1-1-100111100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300002-22-2000000i3−i300i3−i30000-11-1100000000
χ3022222-2-22-12-2-22-122-1-1-1-2112-1-1-1-1-22-2-11-21-1-1-1-100111100i3−i3i3i3−i3−i300i3−i3i3i3−i3−i30000-22-22000000−i3i300−i3i300001-11-100000000
χ312222-22-222-22-22222222-2-22-2-22-2-22-22-22-2-2-2-22200-222-20000000000000000000000000000000000000000000000002-22-2
χ322222-22-222-22-22222222-2-22-2-22-2-22-22-22-2-2-2-22200-222-2000000000000000000000000000000000000000000000000-22-22
χ332222-2-2222-2-22222222222-2-2-22-2-2-2-2-2-2-222-2-222002-2-2200000000000000002-22-2000000002-2002-2000000000000000000
χ342222-2-2222-2-22222222222-2-2-22-2-2-2-2-2-2-222-2-222002-2-220000000000000000-22-2200000000-2200-22000000000000000000
χ352222-2-22-12-2-22-12-1-122-1-12-21-2-111111-2-2-1211-1-100-111-13−3003−33−33−3003−33−32-22-200000000-1100-11003−33−3000000000000
χ362222-2-22-12-2-22-12-1-122-1-12-21-2-111111-2-2-1211-1-100-111-13−3003−33−33−3003−33−3-22-22000000001-1001-100−33−33000000000000
χ372222-2-22-12-2-22-12-1-122-1-12-21-2-111111-2-2-1211-1-100-111-1−3300−33−33−3300−33−332-22-200000000-1100-1100−33−33000000000000
χ382222-2-22-12-2-22-12-1-122-1-12-21-2-111111-2-2-1211-1-100-111-1−3300−33−33−3300−33−33-22-22000000001-1001-1003−33−3000000000000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000002-2-22000000002-200-22000000000000000000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000-222-200000000-22002-2000000000000000000
χ4122-2-2222-12-2-2-2-1211-2-2-1-122-12-1-1-1-111-2-21-2111100-1-111−i3i300−i3i3−i3i3i3−i300i3−i3i3−i32-2-2200000000-11001-100−i3i3i3−i3000000000000
χ4222-2-2222-12-2-2-2-1211-2-2-1-122-12-1-1-1-111-2-21-2111100-1-111−i3i300−i3i3−i3i3i3−i300i3−i3i3−i3-222-2000000001-100-1100i3−i3−i3i3000000000000
χ4322-2-2222-12-2-2-2-1211-2-2-1-122-12-1-1-1-111-2-21-2111100-1-111i3−i300i3−i3i3−i3−i3i300−i3i3−i3i32-2-2200000000-11001-100i3−i3−i3i3000000000000
χ4422-2-2222-12-2-2-2-1211-2-2-1-122-12-1-1-1-111-2-21-2111100-1-111i3−i300i3−i3i3−i3−i3i300−i3i3−i3i3-222-2000000001-100-1100−i3i3i3−i3000000000000
χ4522-2-22-2-222-22222-2-2-2-22-2-2-222222-2-22-2222-2-2-2-200-2-2220000000000000000000000000000000000000000000000002i−2i−2i2i
χ4622-2-22-2-222-22222-2-2-2-22-2-2-222222-2-22-2222-2-2-2-200-2-222000000000000000000000000000000000000000000000000−2i2i2i−2i
χ4722-2-2-22-2222-2222-2-2-2-22-2-22-2-22-2-222-22-22222-2-200-22-22000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ4822-2-2-22-2222-2222-2-2-2-22-2-22-2-22-2-222-22-22222-2-200-22-2200000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ4922-2-2-22-22-12-222-1-2-211-1-21-1-21-11122-2-112-1-1-111001-11-1003−333−3−300−33−3−33300002i−2i−2i2i000000−i3i300i3−i30000−iii−i00000000
χ5022-2-2-22-22-12-222-1-2-211-1-21-1-21-11122-2-112-1-1-111001-11-1003−333−3−300−33−3−3330000−2i2i2i−2i000000i3−i300−i3i30000i−i−ii00000000
χ5122-2-2-22-22-12-222-1-2-211-1-21-1-21-11122-2-112-1-1-111001-11-100−33−3−333003−333−3−300002i−2i−2i2i000000i3−i300−i3i30000−iii−i00000000
χ5222-2-2-22-22-12-222-1-2-211-1-21-1-21-11122-2-112-1-1-111001-11-100−33−3−333003−333−3−30000−2i2i2i−2i000000−i3i300i3−i30000i−i−ii00000000
χ5322-2-2-2-222-122-22-1-2-211-12-11-21-111-222-1-1-21-1-1112i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i2-20000-1-100110000−i−iii00000000
χ5422-2-2-2-222-122-22-1-2-211-12-11-21-111-222-1-1-21-1-1112i−2i-11-112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i-2200001100-1-10000ii−i−i00000000
χ5522-2-2-2-222-122-22-1-2-211-12-11-21-111-222-1-1-21-1-111−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i-2200001100-1-10000−i−iii00000000
χ5622-2-2-2-222-122-22-1-2-211-12-11-21-111-222-1-1-21-1-111−2i2i-11-11−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i2-20000-1-100110000ii−i−i00000000
χ5722-2-2-2-22-1222-2-1211-2-2-1-12-21-2-1111-1-1221-2-1-1112i−2i-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii22-2-20000002i−2i-1-1001100−i−iii000000000000
χ5822-2-2-2-22-1222-2-1211-2-2-1-12-21-2-1111-1-1221-2-1-1112i−2i-11-11−i−i2i2i−i−i−i−iii−2i−2iiiii-2-222000000−2i2i1100-1-100ii−i−i000000000000
χ5922-2-2-2-22-1222-2-1211-2-2-1-12-21-2-1111-1-1221-2-1-111−2i2i-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i22-2-2000000−2i2i-1-1001100ii−i−i000000000000
χ6022-2-2-2-22-1222-2-1211-2-2-1-12-21-2-1111-1-1221-2-1-111−2i2i-11-11ii−2i−2iiiii−i−i2i2i−i−i−i−i-2-2220000002i−2i1100-1-100−i−iii000000000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-2-21111441111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-2-21111-4-411112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-4-244-4-4-24-2-244-22-4-4-24-2-2-22-224-42-4-2-2-2-20022220000000000000000000000000000000000000000000000000000
χ6444444-4-4-2-24-4-4-2-2-2-2-2-21222-2-21112-22-2222111100-1-1-1-100−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ6544444-4-4-2-24-4-4-2-2-2-2-2-21222-2-21112-22-2222111100-1-1-1-1002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-44-44-2-44-44-244-2-2-2-42-2-42-2224-442-2-4222-2-2002-2-220000000000000000000000000000000000000000000000000000
χ674444-44-4-24-44-4-24-2-244-22-442-4-222-22-2-442-422-2-2002-2-220000000000000000000000000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-2-2-2-2122-2221-1-1-22-22-222-1-11100-111-100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ694444-44-4-2-2-44-4-2-2-2-2-2-2122-2221-1-1-22-22-222-1-11100-111-10000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ704444-4-444-2-4-444-244-2-2-24-22-42-222-4-4-4224-222-2-200-222-20000000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-4-44-2-2-2-2-2-21-2-22221-1-122222-2-2-1-111001-1-1123−2300−33−3323−2300−33−33000000000000000000000000000000000000
χ724444-4-44-2-2-4-44-2-2-2-2-2-21-2-22221-1-122222-2-2-1-111001-1-11−2323003−33−3−2323003−33−3000000000000000000000000000000000000
χ7344-4-44444-2-4-4-44-2-4-422-24-2-24-2-2-2-24-4-422-42222200-2-2220000000000000000000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-2222222-1-1-1-10011-1-1−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-2222222-1-1-1-10011-1-12i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ7644-4-44-4-44-2-4444-2-4-422-2-4224-2-2-2-2-4-442-24-222220022-2-20000000000000000000000000000000000000000000000000000
χ7744-4-44-4-4-24-444-2422-4-4-22-4-4-24-2-2-222-2-44-2422220022-2-20000000000000000000000000000000000000000000000000000
χ7844-4-44-4-4-2-2-444-2-222221222-2-211122-22-2-2-2-1-1-1-100-1-11100003-3-330000-333-3000000000000000000000000000000000000
χ7944-4-44-4-4-2-2-444-2-222221222-2-211122-22-2-2-2-1-1-1-100-1-1110000-333-300003-3-33000000000000000000000000000000000000
χ8044-4-4-44-4-244-44-2422-4-4-22-442-4-222-2-224-4-24-2-222002-22-20000000000000000000000000000000000000000000000000000
χ8144-4-4-44-4-2-24-44-2-22222122-2221-1-1-2-22-22-2-211-1-100-11-110023−23−3−33300−232333−3−3000000000000000000000000000000000000
χ8244-4-4-44-4-2-24-44-2-22222122-2221-1-1-2-22-22-2-211-1-100-11-1100−232333−3−30023−23−3−333000000000000000000000000000000000000
χ8344-4-4-4-44-2-244-4-2-222221-2-22221-1-12-2-2-2-22211-1-14i−4i1-11-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ8444-4-4-4-44-2-244-4-2-222221-2-22221-1-12-2-2-2-22211-1-1−4i4i1-11-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i400000-4000000000004i−4i000000000000000000000000000000000000000000000000002-22i−2i0000
χ864-44i−4i00044000-4-44i−4i4i−4i400000-4000000000004i−4i00000000000000000000000000000000000000000000000000-22−2i2i0000
χ874-4−4i4i00044000-4-4−4i4i−4i4i400000-400000000000−4i4i000000000000000000000000000000000000000000000000002-2−2i2i0000
χ884-4−4i4i00044000-4-4−4i4i−4i4i400000-400000000000−4i4i00000000000000000000000000000000000000000000000000-222i−2i0000
χ898-88i−8i0008-4000-848i−8i−4i4i-400000400000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-400000400000000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i200000-26-600000006i−6i2i−2i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i200000-2-660000000−6i6i2i−2i0000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-4000004000000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-4000004000000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i200000-26-60000000−6i6i−2i2i0000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i200000-2-6600000006i−6i−2i2i0000000000000000000000000000000000000000000000000000000000

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