Finite Group Databasebeta

← Group #11787116

Character table — Group #11787116

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212122244888888882424242424242424446612121212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ911-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-11-11-1ii−i−iii−i−iiiii−i−i−i−i1-11-11-111-1-1ii−i−iii−i−ii−i
χ1011-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-11-11-1−i−iii−i−iii−i−i−i−iiiii1-11-11-111-1-1−i−iii−i−iii−ii
χ1111-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-11-11ii−i−iii−i−iiiii−i−i−i−i-11-11-11-1-111ii−i−i−i−iii−ii
χ1211-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-11-11−i−iii−i−iii−i−i−i−iiiii-11-11-11-1-111−i−iiiii−i−ii−i
χ1311-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111-11-1ii−i−i−i−iiiiiii−i−i−i−i-111-11-1-1-111−i−iii−i−iiii−i
χ1411-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111-11-1−i−iiiii−i−i−i−i−i−iiiii-111-11-1-1-111ii−i−iii−i−i−ii
χ1511-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-11-11ii−i−i−i−iiiiiii−i−i−i−i1-1-11-1111-1-1−i−iiiii−i−i−ii
χ1611-1-111111-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1111111-11-11−i−iiiii−i−i−i−i−i−iiiii1-1-11-1111-1-1ii−i−i−i−iiii−i
χ1722222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-1-1-1-1-10000000000
χ1822222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-2111111110000000000
χ1922222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111122220000000000000000-2-2-1-1-1-111110000000000
χ2022222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111-2-2-2-20000000000000000221111-1-1-1-10000000000
χ212222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022222222-1-1-1-1-1-1-1-10000000000-1-1-1-1000000
χ222222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-2-2-2-2-21111111100000000001111000000
χ232222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-21111-2-2111100002222-2-2-2-2-1-1-1-1-1-1-1-100000000001111000000
χ242222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-21111-2-211110000-2-2-2-22222111111110000000000-1-1-1-1000000
χ2522222-2-222-2-222-2-22-2-2222222-22-22-2-2-22-22-2-222-2-2002-200002-20000000000002-2-220000000000000000002-2-2200000000000000
χ2622222-2-222-2-222-2-22-2-2222222-22-22-2-2-22-22-2-222-2-2002-200002-2000000000000-222-2000000000000000000-222-200000000000000
χ2722222-2-22-1-2-222-2-2-1-2-2-1-122-12-2-11-11112-2-111-1-11100-110000-113−333−3−33−333−3−32-2-22000000000000000000-111-13−33−30000000000
χ2822222-2-22-1-2-222-2-2-1-2-2-1-122-12-2-11-11112-2-111-1-11100-110000-113−333−3−33−333−3−3-222-20000000000000000001-1-11−33−330000000000
χ2922222-2-22-1-2-222-2-2-1-2-2-1-122-12-2-11-11112-2-111-1-11100-110000-11−33−3−333−33−3−3332-2-22000000000000000000-111-1−33−330000000000
χ3022222-2-22-1-2-222-2-2-1-2-2-1-122-12-2-11-11112-2-111-1-11100-110000-11−33−3−333−33−3−333-222-20000000000000000001-1-113−33−30000000000
χ312222-22-2222-2-222222222222-2-2-22222-2-2-2-22-2222200-2-20000-2-2000000000000000000002-22-20000000000000000002-22-2000000
χ322222-22-2222-2-222222222222-2-2-22222-2-2-2-22-2222200-2-20000-2-200000000000000000000-22-22000000000000000000-22-22000000
χ332222-22-2-122-2-2-1-1-12-1-122-1-1-111-22-1-1-1-211-22-2-1-1-1-10011−i3i3−i3i31100−i3i3−i3i300−i3i3−i3i3000000002-22-2−i3−i3i3i3−i3−i3i3i30000000000-11-11000000
χ342222-22-2-122-2-2-1-1-12-1-122-1-1-111-22-1-1-1-211-22-2-1-1-1-10011−i3i3−i3i31100−i3i3−i3i300−i3i3−i3i300000000-22-22i3i3−i3−i3i3i3−i3−i300000000001-11-1000000
χ352222-22-2-122-2-2-1-1-12-1-122-1-1-111-22-1-1-1-211-22-2-1-1-1-10011i3−i3i3−i31100i3−i3i3−i300i3−i3i3−i3000000002-22-2i3i3−i3−i3i3i3−i3−i30000000000-11-11000000
χ362222-22-2-122-2-2-1-1-12-1-122-1-1-111-22-1-1-1-211-22-2-1-1-1-10011i3−i3i3−i31100i3−i3i3−i300i3−i3i3−i300000000-22-22−i3−i3i3i3−i3−i3i3i300000000001-11-1000000
χ372222-2-2222-22-22-2-22-2-222222-22-2-22-2-22-22-2-2222-2-200-220000-2200000000000000000000000000000000000000000000002-22-200
χ382222-2-2222-22-22-2-22-2-222222-22-2-22-2-22-22-2-2222-2-200-220000-220000000000000000000000000000000000000000000000-22-2200
χ3922-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-211111112-2-1-122-2-211-1-1-1-1-1-11111112-22-200000000000000002-2-11-11-1-1110000000000
χ4022-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-211111112-2-1-122-2-211-1-1-1-1-1-1111111-22-220000000000000000-221-11-111-1-10000000000
χ4122-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-21111111-22-1-1-2-22211111111-1-1-1-1-1-12-22-20000000000000000-22-11-1111-1-10000000000
χ4222-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-21111111-22-1-1-2-22211111111-1-1-1-1-1-1-22-2200000000000000002-21-11-1-1-1110000000000
χ4322-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-211112-2-1-1-1-1111122-1-1-1-1-2-2111100002i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii0000000000−i−iii000000
χ4422-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-211112-2-1-1-1-1111122-1-1-1-1-2-211110000−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i0000000000ii−i−i000000
χ4522-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-21111-22-1-111-1-111-2-2111122-1-1-1-100002i2i−2i−2i−2i−2i2i2i−i−i−i−iiiii0000000000ii−i−i000000
χ4622-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-21111-22-1-111-1-111-2-2111122-1-1-1-10000−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i0000000000−i−iii000000
χ4722-2-22-2-22222-22-2-2222-2-2-2-222-22-22-2-2-2-22-222-2-222002-20000-2200000000000022-2-200000000000000000022-2-200000000000000
χ4822-2-22-2-22222-22-2-2222-2-2-2-222-22-22-2-2-2-22-222-2-222002-20000-22000000000000-2-222000000000000000000-2-22200000000000000
χ4922-2-22-2-22-122-22-2-2-12211-2-2-12-2-11-1111-221-1-111-1-100-1100001-13−333−3−3−33−3−33322-2-2000000000000000000-1-1113−3−330000000000
χ5022-2-22-2-22-122-22-2-2-12211-2-2-12-2-11-1111-221-1-111-1-100-1100001-13−333−3−3−33−3−333-2-22200000000000000000011-1-1−333−30000000000
χ5122-2-22-2-22-122-22-2-2-12211-2-2-12-2-11-1111-221-1-111-1-100-1100001-1−33−3−3333−333−3−322-2-2000000000000000000-1-111−333−30000000000
χ5222-2-22-2-22-122-22-2-2-12211-2-2-12-2-11-1111-221-1-111-1-100-1100001-1−33−3−3333−333−3−3-2-22200000000000000000011-1-13−3−330000000000
χ5322-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-2222-22-2-2-2-200-2-2000022000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i000000
χ5422-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-2222-22-2-2-2-200-2-200002200000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i000000
χ5522-2-2-22-2-12-222-1-1-1211-2-211-111-22-1-1-1-2-1-12-2211110011−i3i3i3−i3-1-100−i3i3−i3i300i3−i3i3−i3000000002i−2i−2i2i33−3−3−3−3330000000000−iii−i000000
χ5622-2-2-22-2-12-222-1-1-1211-2-211-111-22-1-1-1-2-1-12-2211110011−i3i3i3−i3-1-100−i3i3−i3i300i3−i3i3−i300000000−2i2i2i−2i−3−33333−3−30000000000i−i−ii000000
χ5722-2-2-22-2-12-222-1-1-1211-2-211-111-22-1-1-1-2-1-12-2211110011i3−i3−i3i3-1-100i3−i3i3−i300−i3i3−i3i3000000002i−2i−2i2i−3−33333−3−30000000000−iii−i000000
χ5822-2-2-22-2-12-222-1-1-1211-2-211-111-22-1-1-1-2-1-12-2211110011i3−i3−i3i3-1-100i3−i3i3−i300−i3i3−i3i300000000−2i2i2i−2i33−3−3−3−3330000000000i−i−ii000000
χ5922-2-2-2-22222-222-2-2222-2-2-2-22-22-2-22-2-222-222-2-2-22200-2200002-200000000000000000000000000000000000000000000002i−2i−2i2i00
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χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211114411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
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χ6544444-4-4-2-2-4-44-222-222-2-2-2-21-22-221-1-12-22-22211-1-1001-100001-1−232333−3−3−232333−3−30000000000000000000000000000000000000000
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χ684444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-21112222-22111100-1-12i3−2i32i3−2i3-1-100−i3i3−i3i300−i3i3−i3i30000000000000000000000000000000000000000
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χ8044-4-4-44-4-2-2-444-2-2-2-22222221222-21112-2-2-22-2-1-1-1-100-1-12i3−2i3−2i32i31100−i3i3−i3i300i3−i3i3−i30000000000000000000000000000000000000000
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χ8444-4-4-4-44-2-24-44-222-2-2-2222212-2221-1-1-2-22-2-22-1-11100-1100001-100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000000000
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χ864-44i−4i00044000-400-4004i−4i4i−4i40000-4000000004i−4i0000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000
χ874-44i−4i000-240002−2i32i3-423−234i−4i−2i2i-200002−2i32i3000000−2i2i23−23000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ1300000000000000000000
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χ894-44i−4i000-2400022i3−2i3-4−23234i−4i−2i2i-2000022i3−2i3000000−2i2i−2323000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ500000000000000000000
χ904-44i−4i000-2400022i3−2i3-4−23234i−4i−2i2i-2000022i3−2i3000000−2i2i−232300000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ500000000000000000000
χ914-4−4i4i00044000-400-400−4i4i−4i4i40000-400000000−4i4i0000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000
χ924-4−4i4i00044000-400-400−4i4i−4i4i40000-400000000−4i4i00000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000
χ934-4−4i4i000-240002−2i32i3-4−2323−4i4i2i−2i-200002−2i32i30000002i−2i−232300000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ700000000000000000000
χ944-4−4i4i000-240002−2i32i3-4−2323−4i4i2i−2i-200002−2i32i30000002i−2i−2323000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ700000000000000000000
χ954-4−4i4i000-2400022i3−2i3-423−23−4i4i2i−2i-2000022i3−2i30000002i−2i23−2300000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ2300000000000000000000
χ964-4−4i4i000-2400022i3−2i3-423−23−4i4i2i−2i-2000022i3−2i30000002i−2i23−23000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ2300000000000000000000
χ978-88i−8i0008-4000-800400−4i4i8i−8i-40000400000000−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i3443−43−4i4i−4i4i20000-22i3−2i30000002i−2i−232300000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4343−4i4i−4i4i20000-2−2i32i30000002i−2i23−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-8004004i−4i−8i8i-400004000000004i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i34−43434i−4i4i−4i20000-22i3−2i3000000−2i2i23−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i3443−434i−4i4i−4i20000-2−2i32i3000000−2i2i−232300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.