Finite Group Databasebeta

← Group #11787876

Character table — Group #11787876

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122222334444666666121212123444466666661212121212121212121266121212121212121212121212121212121212444412121212121212122266668888242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911-1-1-111111-1-11-1-11-1-111-1-11ii−i−i-11-11-1-11111-1-111-1-1-11-1iiii−i−i−i−i1-1iiii−i−i−i−i11-1-11111-1-1-1-11-111-1-1i−ii−iii−i−iii−i−i11-1-1ii−i−i
χ1011-1-1-111111-1-11-1-11-1-111-1-11ii−i−i-11-11-1-11111-1-111-1-1-11-1iiii−i−i−i−i1-1iiii−i−i−i−i11-1-11111-1-1-1-1-11-1-111i−i−iiii−i−i−i−iii-1-111−i−iii
χ1111-1-1-111111-1-11-1-11-1-111-1-11ii−i−i-11-11-1-11111-1-111-1-1-11-1iiii−i−i−i−i1-1iiii−i−i−i−i-1-111-1-1-1-111111-111-1-1−iii−i−i−iiiii−i−i-1-111−i−iii
χ1211-1-1-111111-1-11-1-11-1-111-1-11ii−i−i-11-11-1-11111-1-111-1-1-11-1iiii−i−i−i−i1-1iiii−i−i−i−i-1-111-1-1-1-11111-11-1-111−ii−ii−i−iii−i−iii11-1-1ii−i−i
χ1311-1-1-111111-1-11-1-11-1-111-1-11−i−iii-11-11-1-11111-1-111-1-1-11-1−i−i−i−iiiii1-1−i−i−i−iiiii11-1-11111-1-1-1-11-111-1-1−ii−ii−i−iii−i−iii11-1-1−i−iii
χ1411-1-1-111111-1-11-1-11-1-111-1-11−i−iii-11-11-1-11111-1-111-1-1-11-1−i−i−i−iiiii1-1−i−i−i−iiiii11-1-11111-1-1-1-1-11-1-111−iii−i−i−iiiii−i−i-1-111ii−i−i
χ1511-1-1-111111-1-11-1-11-1-111-1-11−i−iii-11-11-1-11111-1-111-1-1-11-1−i−i−i−iiiii1-1−i−i−i−iiiii-1-111-1-1-1-111111-111-1-1i−i−iiii−i−i−i−iii-1-111ii−i−i
χ1611-1-1-111111-1-11-1-11-1-111-1-11−i−iii-11-11-1-11111-1-111-1-1-11-1−i−i−i−iiiii1-1−i−i−i−iiiii-1-111-1-1-1-11111-11-1-111i−ii−iii−i−iii−i−i11-1-1−i−iii
χ1722222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-2-2-2-2-2-22200000000-2-2000000000000000000000000000000000000002-22-20000
χ1822222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-2-2-2-2-2-22200000000-2-200000000000000000000000000000000000000-22-220000
χ192222222-12222222-1-1-12222-122222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100220000-1-1-1-100000000
χ202222222-12222222-1-1-12222-122222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100-2-20000111100000000
χ212222222-12222222-1-1-12222-1-2-2-2-22-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-211-2-211-1-11111111100000000000022-1-1-1-100-2-20000111100000000
χ222222222-12222222-1-1-12222-1-2-2-2-22-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-211-2-211-1-111111111000000000000-2-2111100220000-1-1-1-100000000
χ23222222-122222-1-1-1222-1-1-1-1-12222-122-1-1-1-1-122-12-1-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000002200-1-1-1-1000000000000
χ24222222-122222-1-1-1222-1-1-1-1-12222-122-1-1-1-1-122-12-1-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000-2-2001111000000000000
χ25222222-122222-1-1-1222-1-1-1-1-1-2-2-2-2-122-1-1-1-1-122-12-1-1-1-12-1-111-2-211-2-2-1-1111111112222-1-1-1-1-1-1-1-1000000-2-2001111000000000000
χ26222222-122222-1-1-1222-1-1-1-1-1-2-2-2-2-122-1-1-1-1-122-12-1-1-1-12-1-111-2-211-2-2-1-111111111-2-2-2-2111111110000002200-1-1-1-1000000000000
χ272222-2-2222-22-2222222222220000-2-2-2222-2-22-2-222222-2-2-200000000-2-20000000000000000000000000000000000000000002-22-2
χ282222-2-2222-22-2222222222220000-2-2-2222-2-22-2-222222-2-2-200000000-2-2000000000000000000000000000000000000000000-22-22
χ292222-2-222-22-22222222-2-2-2-222-22-2-2-2-2222-22-222-2-2-2-2-22-2-22-22-22-22-22222-2-222-2-200000000000000000000000000000000000000
χ302222-2-222-22-22222222-2-2-2-22-22-22-2-2-2222-22-222-2-2-2-2-22-2-2-22-22-22-2222-2-222-2-22200000000000000000000000000000000000000
χ312222-2-22-1-22-22222-1-1-1-2-2-2-2-12-22-2-211-1-1-1-221-1211111-1112-2-112-2-11-1-1-1-111-1-11100000000000000−i3i3−i3i300000000−i3i3−i3i300000000
χ322222-2-22-1-22-22222-1-1-1-2-2-2-2-12-22-2-211-1-1-1-221-1211111-1112-2-112-2-11-1-1-1-111-1-11100000000000000i3−i3i3−i300000000i3−i3i3−i300000000
χ332222-2-22-1-22-22222-1-1-1-2-2-2-2-1-22-22-211-1-1-1-221-1211111-111-221-1-221-1-1-111-1-111-1-100000000000000−i3i3−i3i300000000i3−i3i3−i300000000
χ342222-2-22-1-22-22222-1-1-1-2-2-2-2-1-22-22-211-1-1-1-221-1211111-111-221-1-221-1-1-111-1-111-1-100000000000000i3−i3i3−i300000000−i3i3−i3i300000000
χ352222-2-2-12-22-22-1-1-12221111-12-22-21-2-2-1-1-11-1-22-1-21111211-112-2-112-2-1-1-1-111-1-111000033−3−333−3−300000000003−33−3000000000000
χ362222-2-2-12-22-22-1-1-12221111-12-22-21-2-2-1-1-11-1-22-1-21111211-112-2-112-2-1-1-1-111-1-1110000−3−333−3−3330000000000−33−33000000000000
χ372222-2-2-12-22-22-1-1-12221111-1-22-221-2-2-1-1-11-1-22-1-211112111-1-221-1-22-1-111-1-111-1-1000033−3−333−3−30000000000−33−33000000000000
χ382222-2-2-12-22-22-1-1-12221111-1-22-221-2-2-1-1-11-1-22-1-211112111-1-221-1-22-1-111-1-111-1-10000−3−333−3−33300000000003−33−3000000000000
χ3922-2-22-2222-2-222-2-22-2-222-2-2200002-222-2-2-2-22-22-222-2-22-2200000000-220000000000000000000000000000000000000000002i−2i−2i2i
χ4022-2-22-2222-2-222-2-22-2-222-2-2200002-222-2-2-2-22-22-222-2-22-2200000000-22000000000000000000000000000000000000000000−2i2i2i−2i
χ4122-2-22-222-222-22-2-22-2-2-2-22222i−2i−2i2i2-222-2-2-22-22-22-2-222-2-222i−2i2i−2i−2i2i−2i2i2-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ4222-2-22-222-222-22-2-22-2-2-2-2222−2i2i2i−2i2-222-2-2-22-22-22-2-222-2-22−2i2i−2i2i2i−2i2i−2i2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ4322-2-22-22-1-222-22-2-2-111-2-222-12i−2i−2i2i21-1-111-221-1-2-111-1-111-12i−2i−ii−2i2ii−i-11−i−iiiii−i−i00000000000000−i3i3i3−i3000000003−3−3300000000
χ4422-2-22-22-1-222-22-2-2-111-2-222-12i−2i−2i2i21-1-111-221-1-2-111-1-111-12i−2i−ii−2i2ii−i-11−i−iiiii−i−i00000000000000i3−i3−i3i300000000−333−300000000
χ4522-2-22-22-1-222-22-2-2-111-2-222-1−2i2i2i−2i21-1-111-221-1-2-111-1-111-1−2i2ii−i2i−2i−ii-11ii−i−i−i−iii00000000000000−i3i3i3−i300000000−333−300000000
χ4622-2-22-22-1-222-22-2-2-111-2-222-1−2i2i2i−2i21-1-111-221-1-2-111-1-111-1−2i2ii−i2i−2i−ii-11ii−i−i−i−iii00000000000000i3−i3−i3i3000000003−3−3300000000
χ4722-2-22-2-12-222-2-1112-2-211-1-1-12i−2i−2i2i-1-22-1111-1-221211-1-1-21-1−ii2i−2ii−i−2i2i-11−i−iiiii−i−i000033−3−3−3−3330000000000i3−i3−i3i3000000000000
χ4822-2-22-2-12-222-2-1112-2-211-1-1-12i−2i−2i2i-1-22-1111-1-221211-1-1-21-1−ii2i−2ii−i−2i2i-11−i−iiiii−i−i0000−3−33333−3−30000000000−i3i3i3−i3000000000000
χ4922-2-22-2-12-222-2-1112-2-211-1-1-1−2i2i2i−2i-1-22-1111-1-221211-1-1-21-1i−i−2i2i−ii2i−2i-11ii−i−i−i−iii000033−3−3−3−3330000000000−i3i3i3−i3000000000000
χ5022-2-22-2-12-222-2-1112-2-211-1-1-1−2i2i2i−2i-1-22-1111-1-221211-1-1-21-1i−i−2i2i−ii2i−2i-11ii−i−i−i−iii0000−3−33333−3−30000000000i3−i3−i3i3000000000000
χ5122-2-2-2222-2-2222-2-22-2-2-2-22220000-22-22-2-22-2-2-222-2-22222-200000000-22000000000000000000000000000000000000002-2-220000
χ5222-2-2-2222-2-2222-2-22-2-2-2-22220000-22-22-2-22-2-2-222-2-22222-200000000-2200000000000000000000000000000000000000-222-20000
χ5322-2-2-222-122-2-22-2-2-11122-2-2-12i2i−2i−2i-2-11-11122-1-1-21-1-1111-112i2i−i−i−2i−2iii-11−i−i−i−iiiii0000000000002-2-1-111002i−2i0000−i−iii00000000
χ5422-2-2-222-122-2-22-2-2-11122-2-2-12i2i−2i−2i-2-11-11122-1-1-21-1-1111-112i2i−i−i−2i−2iii-11−i−i−i−iiiii000000000000-2211-1-100−2i2i0000ii−i−i00000000
χ5522-2-2-222-122-2-22-2-2-11122-2-2-1−2i−2i2i2i-2-11-11122-1-1-21-1-1111-11−2i−2iii2i2i−i−i-11iiii−i−i−i−i0000000000002-2-1-11100−2i2i0000ii−i−i00000000
χ5622-2-2-222-122-2-22-2-2-11122-2-2-1−2i−2i2i2i-2-11-11122-1-1-21-1-1111-11−2i−2iii2i2i−i−i-11iiii−i−i−i−i000000000000-2211-1-1002i−2i0000−i−iii00000000
χ5722-2-2-22-1222-2-2-1112-2-2-1-111-12i2i−2i−2i12-2-111-1-1221-2-1-111-2-11−i−i2i2iii−2i−2i-11−i−i−i−iiiii22-2-2-1-1-1-111110000002i−2i00−i−iii000000000000
χ5822-2-2-22-1222-2-2-1112-2-2-1-111-12i2i−2i−2i12-2-111-1-1221-2-1-111-2-11−i−i2i2iii−2i−2i-11−i−i−i−iiiii-2-2221111-1-1-1-1000000−2i2i00ii−i−i000000000000
χ5922-2-2-22-1222-2-2-1112-2-2-1-111-1−2i−2i2i2i12-2-111-1-1221-2-1-111-2-11ii−2i−2i−i−i2i2i-11iiii−i−i−i−i22-2-2-1-1-1-11111000000−2i2i00ii−i−i000000000000
χ6022-2-2-22-1222-2-2-1112-2-2-1-111-1−2i−2i2i2i12-2-111-1-1221-2-1-111-2-11ii−2i−2i−i−i2i2i-11iiii−i−i−i−i-2-2221111-1-1-1-10000002i−2i00−i−iii000000000000
χ614444444-2-4-4-4-4444-2-2-2-4-4-4-4-200004-2-2-2-2-24-422-4222222-2-200000000220000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2-24442222-20000-244-2-2-2-22-4-42-42222-4-2-200000000220000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-214444-2-2-2111-2-2-2-2-2-21111-211-2-2-2-2-2-2-2-2111111111100000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2111-2-2-2-2-2-21111-2112222222211-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ66444444-2-2-4-4-4-4-2-2-2-2-2-2222210000-2-2-2111-222222-1-1-1-121100000000-1-1-33-33-33-3300000000000000000000000000000000000000
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χ7744-4-44-4-2-2-444-4-222-22222-2-214i−4i−4i4i-22-21-1-12-22-22-2-1-1112-11−2i2i−2i2i2i−2i2i−2i1-1ii−i−i−i−iii00000000000000000000000000000000000000
χ7844-4-44-4-2-2-444-4-222-22222-2-21−4i4i4i−4i-22-21-1-12-22-22-2-1-1112-112i−2i2i−2i−2i2i−2i2i1-1−i−iiiii−i−i00000000000000000000000000000000000000
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χ8244-4-4-44-2-244-4-4-222-222-2-2221−4i−4i4i4i2-221-1-1-2-2-2-22211-1-121-12i2i2i2i−2i−2i−2i−2i1-1−i−i−i−iiiii00000000000000000000000000000000000000
χ8344-4-4-44-2-2-4-444-222-22222-2-2100002-221-1-1-2222-2-2-1-111-21-100000000-113i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000
χ8444-4-4-44-2-2-4-444-222-22222-2-2100002-221-1-1-2222-2-2-1-111-21-100000000-11−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000
χ854-44-400440000-44-4-44-4000040000000-44-400000000000000000000000000000002-22-22-22-22-22-200000000000000000000000000
χ864-44-400440000-44-4-44-4000040000000-44-40000000000000000000000000000000-22-22-22-22-22-2200000000000000000000000000
χ874-44-400-2400002-22-44-423−2323−23-200000002-2200000023−2323−230000000000000000000002-22-2−1+31−3−1−31+3−1+31−3−1−31+300000000000000000000000000
χ884-44-400-2400002-22-44-423−2323−23-200000002-2200000023−2323−23000000000000000000000-22-221−3−1+31+3−1−31−3−1+31+3−1−300000000000000000000000000
χ894-44-400-2400002-22-44-4−2323−2323-200000002-22000000−2323−23230000000000000000000002-22-2−1−31+3−1+31−3−1−31+3−1+31−300000000000000000000000000
χ904-44-400-2400002-22-44-4−2323−2323-200000002-22000000−2323−2323000000000000000000000-22-221+3−1−31−3−1+31+3−1−31−3−1+300000000000000000000000000
χ914-4-4400440000-4-44-4-44000040000000-4-4400000000000000000000000000000002-2-222-22-2-22-2200000000000000000000000000
χ924-4-4400440000-4-44-4-44000040000000-4-440000000000000000000000000000000-222-2-22-222-22-200000000000000000000000000
χ934-4-4400-24000022-2-4-4423−23−2323-2000000022-200000023−23−23230000000000000000000002-2-22−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000000000
χ944-4-4400-24000022-2-4-4423−23−2323-2000000022-200000023−23−2323000000000000000000000-222-21−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000000000
χ954-4-4400-24000022-2-4-44−232323−23-2000000022-2000000−232323−230000000000000000000002-2-22−1−31+3−1+31−31+3−1−31−3−1+300000000000000000000000000
χ964-4-4400-24000022-2-4-44−232323−23-2000000022-2000000−232323−23000000000000000000000-222-21+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000000000
χ978-88-8008-40000-88-84-440000-400000004-44000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-400004-444-4443−4343−4320000000-22-2000000−2323−232300000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004-444-44−4343−434320000000-22-200000023−2323−2300000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-8-8844-40000-4000000044-4000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-4000044-444-443−43−434320000000-2-22000000−232323−2300000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044-444-4−434343−4320000000-2-2200000023−23−232300000000000000000000000000000000000000000000000000000000000

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