Finite Group Databasebeta

← Group #11787904

Character table — Group #11787904

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444444444444121212121212121288121212121212121224242424444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-1-111111-1-1-1-11-1-1111-1-111-1-1-1-1111-11111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−i11-1-1ii−i−iii−i−i1-1
χ1011-1-1-111111-1-1-1-11-1-1111-1-111-1-1-1-1111-11111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1−i−iii-1-111-1-1-1-11111i−i−i−iii11-1-1ii−i−i−i−iii-11
χ1111-1-1-111111-1-1-1-11-1-1111-1-111-1-1-1-1111-11111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111ii−i−i11-1-11111-1-1-1-1−iiii−i−i-1-111−i−iii−i−iii-11
χ1211-1-1-111111-1-1-1-11-1-1111-1-111-1-1-1-1111-11111-1-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-1-111−i−iii-1-111-1-1-1-11111−ii−i−iii-1-111−i−iiiii−i−i1-1
χ1311-1-1-111111-1-1-1-11-1-1111-1-111-1-1-1-1111-11111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1ii−i−i-1-111-1-1-1-11111−iiii−i−i11-1-1−i−iiiii−i−i-11
χ1411-1-1-111111-1-1-1-11-1-1111-1-111-1-1-1-1111-11111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii11-1-1−i−iii−i−iii1-1
χ1511-1-1-111111-1-1-1-11-1-1111-1-111-1-1-1-1111-11111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-111ii−i−i-1-111-1-1-1-11111i−iii−i−i-1-111ii−i−i−i−iii1-1
χ1611-1-1-111111-1-1-1-11-1-1111-1-111-1-1-1-1111-11111-1-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-1-111−i−iii11-1-11111-1-1-1-1i−i−i−iii-1-111ii−i−iii−i−i-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-22-200000000000000000000002-22-20000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-220000000000000000000000-22-220000000000
χ192222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022222222-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ202222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-2-2-2-2-21111111100111100000000000000
χ212222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-21111-2-2111100002222-2-2-2-21111111100-1-1-1-100000000000000
χ222222222-1222222-1-1-12-1-1-1-1-122-1-1-1-1-1-1-122-1-12-1-12-1-1-2-2-1-11111-2-21111-2-211110000-2-2-2-22222-1-1-1-1-1-1-1-100111100000000000000
χ23222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000000000220000-1-1-1-1-1-1-1-1000000
χ24222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-2000011111111000000
χ25222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111122220000000000000000-2-20000-1-1-1-11111000000
χ26222222-122222-1-1222-12222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-200000000000000002200001111-1-1-1-1000000
χ27222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-1001100003−333−3−33−333−3−32-22-20000000000000000000000-11-113−33−3000000
χ28222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-1001100003−333−3−33−333−3−3-22-2200000000000000000000001-11-1−33−33000000
χ29222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-100110000−33−3−333−33−3−3332-22-20000000000000000000000-11-11−33−33000000
χ30222222-12-2-2-2-2-1-1222-1-2-2-2-2-1-1-12-1-1-12-2-211111111-1-100110000−33−3−333−33−3−333-22-2200000000000000000000001-11-13−33−3000000
χ312222-2-2222-22-222222222222-2-2-2222-2-2-22-222222-2-2-200-2-2000000000000000000000000000000000000000000000000002-22-200
χ322222-2-2222-22-222222222222-2-2-2222-2-2-22-222222-2-2-200-2-200000000000000000000000000000000000000000000000000-22-2200
χ332222-2-222-22-22222222-2-2-2-22-2-2-2222-222-22-2-2-2-2-22-2-20022000000000000000000002-22-2000000000000002-22-200000000000000
χ342222-2-222-22-22222222-2-2-2-22-2-2-2222-222-22-2-2-2-2-22-2-2002200000000000000000000-22-2200000000000000-22-2200000000000000
χ352222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-13−33−3003−33−3003−33−300002-22-2000033−3−333−3−300-11-1100000000000000
χ362222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-13−33−3003−33−3003−33−30000-22-220000−3−333−3−333001-11-100000000000000
χ372222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-1−33−3300−33−3300−33−3300002-22-20000−3−333−3−33300-11-1100000000000000
χ382222-2-22-1-22-2222-1-1-121111-1-2-21-1-1-11-1-1-2211-21121100-1-1−33−3300−33−3300−33−330000-22-22000033−3−333−3−3001-11-100000000000000
χ3922-2-22-2222-2-22-2-22-2-2222-2-22-222-2-22-2-222-222-2-2-22-2200-22000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ4022-2-22-2222-2-22-2-22-2-2222-2-22-222-2-22-2-222-222-2-2-22-2200-2200000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ4122-2-22-222-222-2-2-22-2-22-2-2222-222-2-22-22-2-22-2-2222-2-22002-2000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000
χ4222-2-22-222-222-2-2-22-2-22-2-2222-222-2-22-22-2-22-2-2222-2-22002-200000000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000
χ4322-2-22-22-1-222-2-2-2-111211-1-1-1-22-111-11-11-22112-1-1-21-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i300002i−2i−2i2i0000−3−33333−3−300−iii−i00000000000000
χ4422-2-22-22-1-222-2-2-2-111211-1-1-1-22-111-11-11-22112-1-1-21-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i30000−2i2i2i−2i000033−3−3−3−33300i−i−ii00000000000000
χ4522-2-22-22-1-222-2-2-2-111211-1-1-1-22-111-11-11-22112-1-1-21-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i300002i−2i−2i2i000033−3−3−3−33300−iii−i00000000000000
χ4622-2-22-22-1-222-2-2-2-111211-1-1-1-22-111-11-11-22112-1-1-21-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i30000−2i2i2i−2i0000−3−33333−3−300i−i−ii00000000000000
χ4722-2-2-2222-2-222-2-22-2-22-2-22222-2-2-2-222-22-2-2-2-222222-200-2200000000000000002-2-2200000000000000000000002-2-220000000000
χ4822-2-2-2222-2-222-2-22-2-22-2-22222-2-2-2-222-22-2-2-2-222222-200-220000000000000000-222-20000000000000000000000-222-20000000000
χ4922-2-2-222-122-2-2-2-2-1112-1-111-12-2111-1-1-1122-1-1-211-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii00002i2i−2i−2i22-2-2-1-1-1-1111100−i−iii00000000000000
χ5022-2-2-222-122-2-2-2-2-1112-1-111-12-2111-1-1-1122-1-1-211-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000−2i−2i2i2i-2-2221111-1-1-1-100ii−i−i00000000000000
χ5122-2-2-222-122-2-2-2-2-1112-1-111-12-2111-1-1-1122-1-1-211-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i00002i2i−2i−2i-2-2221111-1-1-1-100−i−iii00000000000000
χ5222-2-2-222-122-2-2-2-2-1112-1-111-12-2111-1-1-1122-1-1-211-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000−2i−2i2i2i22-2-2-1-1-1-1111100ii−i−i00000000000000
χ5322-2-2-22-1222-2-2112-2-2-122-2-2-1-11-211-122-2-1-1-1-11111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii22-2-200000000000000002i−2i0000-1-111−i−iii000000
χ5422-2-2-22-1222-2-2112-2-2-122-2-2-1-11-211-122-2-1-1-1-11111-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii-2-2220000000000000000−2i2i000011-1-1ii−i−i000000
χ5522-2-2-22-1222-2-2112-2-2-122-2-2-1-11-211-122-2-1-1-1-11111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i22-2-20000000000000000−2i2i0000-1-111ii−i−i000000
χ5622-2-2-22-1222-2-2112-2-2-122-2-2-1-11-211-122-2-1-1-1-11111-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i-2-22200000000000000002i−2i000011-1-1−i−iii000000
χ5722-2-2-22-12-2-222112-2-2-1-2-222-1-11-211-12-221111-1-1-1-1-11001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i32-2-220000000000000000000000-111-1−i3i3i3−i3000000
χ5822-2-2-22-12-2-222112-2-2-1-2-222-1-11-211-12-221111-1-1-1-1-11001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i3-222-200000000000000000000001-1-11i3−i3−i3i3000000
χ5922-2-2-22-12-2-222112-2-2-1-2-222-1-11-211-12-221111-1-1-1-1-11001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i32-2-220000000000000000000000-111-1i3−i3−i3i3000000
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χ884-44-4004-200004-42-22-423−2323−23-2000-2220000023−23023−230000000000000000000000000000000−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000
χ894-44-4004-200004-42-22-4−2323−2323-2000-22200000−23230−232300000000000000000000000000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ904-44-4004-200004-42-22-4−2323−2323-2000-22200000−23230−23230000000000000000000000000000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ914-4-4400440000-44-4-44-400004000-44-4000000000000000000000000000000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000
χ924-4-4400440000-44-4-44-400004000-44-400000000000000000000000000000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ934-4-44004-20000-4422-2-423−23−2323-20002-220000023−230−232300000000000000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000
χ944-4-44004-20000-4422-2-423−23−2323-20002-220000023−230−23230000000000000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000
χ954-4-44004-20000-4422-2-4−232323−23-20002-2200000−2323023−2300000000000000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ964-4-44004-20000-4422-2-4−232323−23-20002-2200000−2323023−230000000000000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ978-88-800-480000-44-88-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-444-44443−4343−4320002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-444-444−4343−434320002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-4-8-8840000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-444-4443−43−43432000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-444-44−434343−432000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.