Finite Group Databasebeta

← Group #11787940

Character table — Group #11787940

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222222222336666666666344446666666666666666666661212121212121212121212121212121222226666666644444412121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1
χ911-1-111-11-1-1111111-1-1-1-1-1-11ii−i−i11-1-111-1-1111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−i1-1i−iii−i−i11-1-1ii−i−i1-11-1ii−i−i
χ1011-1-111-11-1-1111111-1-1-1-1-1-11ii−i−i11-1-111-1-1111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−i-11−iiii−i−i-1-111−i−iii-11-11−i−iii
χ1111-1-111-11-1-1111111-1-1-1-1-1-11ii−i−i11-1-111-1-1111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii1-1i−i−i−iii11-1-1ii−i−i-11-11−i−iii
χ1211-1-111-11-1-1111111-1-1-1-1-1-11ii−i−i11-1-111-1-1111-1-1-1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−ii-11−ii−i−iii-1-111−i−iii1-11-1ii−i−i
χ1311-1-111-11-1-1111111-1-1-1-1-1-11−i−iii11-1-111-1-1111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii1-1−ii−i−iii11-1-1−i−iii1-11-1−i−iii
χ1411-1-111-11-1-1111111-1-1-1-1-1-11−i−iii11-1-111-1-1111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii-11i−i−i−iii-1-111ii−i−i-11-11ii−i−i
χ1511-1-111-11-1-1111111-1-1-1-1-1-11−i−iii11-1-111-1-1111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−i1-1−iiii−i−i11-1-1−i−iii-11-11ii−i−i
χ1611-1-111-11-1-1111111-1-1-1-1-1-11−i−iii11-1-111-1-1111-1-1-1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−i-11i−iii−i−i-1-111ii−i−i1-11-1−i−iii
χ1722222222222-12-1-1-122-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-10000000000000000
χ1822222222222-12-1-1-122-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2000011110000000000000000
χ1922222222222-12-1-1-122-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-211-2-211111111112222-1-1-1-1-1-1-1-1-2-2000011110000000000000000
χ2022222222222-12-1-1-122-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-211-2-21111111111-2-2-2-211111111220000-1-1-1-10000000000000000
χ212222222222-12-1222-1-12222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-100000000
χ222222222222-12-1222-1-12222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000000000-2-2-2-200001111111100000000
χ232222222222-12-1222-1-12222-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2111111110000000000000022-2-20000-1-1-1-1111100000000
χ242222222222-12-1222-1-12222-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-21111111100000000000000-2-22200001111-1-1-1-100000000
χ2522222-2-2-22-222222222222222-22-22-22-2-2-2-2-22222222-2-2-2-2-2-22-22-22-22-222-2-222-2-200000000000000000000000000000000000000
χ2622222-2-2-22-22222222222222-22-222-22-2-2-2-2-22222222-2-2-2-2-2-2-22-22-22-22-2-222-2-22200000000000000000000000000000000000000
χ2722222-2-2-22-22-12-1-1-122-1-1-1-1-12-22-22-22-21111-1-1-1-1-1-1-1-2-211112-2-112-2-11-1-111-1-1110000−i3−i3i3i3−i3−i3i3i3000000−i3i3−i3i30000000000000000
χ2822222-2-2-22-22-12-1-1-122-1-1-1-1-12-22-22-22-21111-1-1-1-1-1-1-1-2-211112-2-112-2-11-1-111-1-1110000i3i3−i3−i3i3i3−i3−i3000000i3−i3i3−i30000000000000000
χ2922222-2-2-22-22-12-1-1-122-1-1-1-1-1-22-222-22-21111-1-1-1-1-1-1-1-2-21111-221-1-221-111-1-111-1-10000−i3−i3i3i3−i3−i3i3i3000000i3−i3i3−i30000000000000000
χ3022222-2-2-22-22-12-1-1-122-1-1-1-1-1-22-222-22-21111-1-1-1-1-1-1-1-2-21111-221-1-221-111-1-111-1-10000i3i3−i3−i3i3i3−i3−i3000000−i3i3−i3i30000000000000000
χ3122222-2-2-22-2-12-1222-1-12222-12-22-2-11-11-2-2-2-2-1-1-1-1-1-1-1111111-112-2-112-2-1-111-1-11100000000000000000000003−33−33−33−300000000
χ3222222-2-2-22-2-12-1222-1-12222-12-22-2-11-11-2-2-2-2-1-1-1-1-1-1-1111111-112-2-112-2-1-111-1-1110000000000000000000000−33−33−33−3300000000
χ3322222-2-2-22-2-12-1222-1-12222-1-22-22-11-11-2-2-2-2-1-1-1-1-1-1-11111111-1-221-1-2211-1-111-1-100000000000000000000003−33−3−33−3300000000
χ3422222-2-2-22-2-12-1222-1-12222-1-22-22-11-11-2-2-2-2-1-1-1-1-1-1-11111111-1-221-1-2211-1-111-1-10000000000000000000000−33−333−33−300000000
χ352222-22-2-2-222222-2-22222-2-220000-22-2-22-22-22-2-2-2-222-222-22-2000000000000000000000000000000000000000000000000002-22-2
χ362222-22-2-2-222222-2-22222-2-220000-22-2-22-22-22-2-2-2-222-222-22-200000000000000000000000000000000000000000000000000-22-22
χ372222-2-222-2-22222-2-22222-2-220000-2-2-22-22-222-2-2-2-2222-2-22-22000000000000000000000000000000000000000000000022-2-20000
χ382222-2-222-2-22222-2-22222-2-220000-2-2-22-22-222-2-2-2-2222-2-22-220000000000000000000000000000000000000000000000-2-2220000
χ3922-2-222-22-2-22-12-1-1-1-2-21111-12i2i−2i−2i22-2-2-1-111-1-1-111112-2-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii22-2-2-1-1-1-111112i−2i0000−i−iii0000000000000000
χ4022-2-222-22-2-22-12-1-1-1-2-21111-12i2i−2i−2i22-2-2-1-111-1-1-111112-2-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii-2-2221111-1-1-1-1−2i2i0000ii−i−i0000000000000000
χ4122-2-222-22-2-22-12-1-1-1-2-21111-1−2i−2i2i2i22-2-2-1-111-1-1-111112-2-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i22-2-2-1-1-1-11111−2i2i0000ii−i−i0000000000000000
χ4222-2-222-22-2-22-12-1-1-1-2-21111-1−2i−2i2i2i22-2-2-1-111-1-1-111112-2-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i-2-2221111-1-1-1-12i−2i0000−i−iii0000000000000000
χ4322-2-222-22-2-2-12-122211-2-2-2-2-12i2i−2i−2i-1-11122-2-2-1-1-11111-11-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii000000000000002-22i−2i0000-1-111−i−iii00000000
χ4422-2-222-22-2-2-12-122211-2-2-2-2-12i2i−2i−2i-1-11122-2-2-1-1-11111-11-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii00000000000000-22−2i2i000011-1-1ii−i−i00000000
χ4522-2-222-22-2-2-12-122211-2-2-2-2-1−2i−2i2i2i-1-11122-2-2-1-1-11111-11-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i000000000000002-2−2i2i0000-1-111ii−i−i00000000
χ4622-2-222-22-2-2-12-122211-2-2-2-2-1−2i−2i2i2i-1-11122-2-2-1-1-11111-11-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i00000000000000-222i−2i000011-1-1−i−iii00000000
χ4722-2-22-22-2-22222222-2-2-2-2-2-222i−2i−2i2i2-2-22-2-222222-2-2-2-2-22-2-2222i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ4822-2-22-22-2-22222222-2-2-2-2-2-22−2i2i2i−2i2-2-22-2-222222-2-2-2-2-22-2-222−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ4922-2-22-22-2-222-12-1-1-1-2-21111-12i−2i−2i2i2-2-2211-1-1-1-1-11111-2211-1-12i−2i−ii−2i2ii−i−i−iiiii−i−i0000−i3−i3i3i3i3i3−i3−i30000003−3−330000000000000000
χ5022-2-22-22-2-222-12-1-1-1-2-21111-12i−2i−2i2i2-2-2211-1-1-1-1-11111-2211-1-12i−2i−ii−2i2ii−i−i−iiiii−i−i0000i3i3−i3−i3−i3−i3i3i3000000−333−30000000000000000
χ5122-2-22-22-2-222-12-1-1-1-2-21111-1−2i2i2i−2i2-2-2211-1-1-1-1-11111-2211-1-1−2i2ii−i2i−2i−iiii−i−i−i−iii0000−i3−i3i3i3i3i3−i3−i3000000−333−30000000000000000
χ5222-2-22-22-2-222-12-1-1-1-2-21111-1−2i2i2i−2i2-2-2211-1-1-1-1-11111-2211-1-1−2i2ii−i2i−2i−iiii−i−i−i−iii0000i3i3−i3−i3−i3−i3i3i30000003−3−330000000000000000
χ5322-2-22-22-2-22-12-122211-2-2-2-2-12i−2i−2i2i-111-1-2-222-1-1-111111-111-1-1−ii2i−2ii−i−2i2i−i−iiiii−i−i00000000000000000000003−3−33i3−i3−i3i300000000
χ5422-2-22-22-2-22-12-122211-2-2-2-2-12i−2i−2i2i-111-1-2-222-1-1-111111-111-1-1−ii2i−2ii−i−2i2i−i−iiiii−i−i0000000000000000000000−333−3−i3i3i3−i300000000
χ5522-2-22-22-2-22-12-122211-2-2-2-2-1−2i2i2i−2i-111-1-2-222-1-1-111111-111-1-1i−i−2i2i−ii2i−2iii−i−i−i−iii00000000000000000000003−3−33−i3i3i3−i300000000
χ5622-2-22-22-2-22-12-122211-2-2-2-2-1−2i2i2i−2i-111-1-2-222-1-1-111111-111-1-1i−i−2i2i−ii2i−2iii−i−i−i−iii0000000000000000000000−333−3i3−i3−i3i300000000
χ5722-2-2-222-22-22222-2-2-2-2-2-22220000-22222-2-222-2-222-2-2-2-22-2-22000000000000000000000000000000000000000000000000002i−2i−2i2i
χ5822-2-2-222-22-22222-2-2-2-2-2-22220000-22222-2-222-2-222-2-2-2-22-2-2200000000000000000000000000000000000000000000000000−2i2i2i−2i
χ5922-2-2-2-2-22222222-2-2-2-2-2-22220000-2-22-2-222-22-2-222-2-222-222-200000000000000000000000000000000000000000000002-2-220000
χ6022-2-2-2-2-22222222-2-2-2-2-2-22220000-2-22-2-222-22-2-222-2-222-222-20000000000000000000000000000000000000000000000-222-20000
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-21111111-2-21111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-21111111-2-2111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ6344444-4-4-44-4-2-2-2-2-2-2-2-2-2-2-2-214-44-4-22-222222111111122-1-1-1-1-22-22-22-2211-1-111-1-100000000000000000000000000000000000000
χ6444444-4-4-44-4-2-2-2-2-2-2-2-2-2-2-2-21-44-44-22-222222111111122-1-1-1-12-22-22-22-2-1-111-1-11100000000000000000000000000000000000000
χ654444-44-4-4-444-24-22244-2-222-20000-44-4-4-22-22-22222-2-2-44-22-22000000000000000000000000000000000000000000000000000000
χ664444-44-4-4-44-24-24-4-4-2-244-4-4-200002-2224-44-4-22222-2-22-2-22-22000000000000000000000000000000000000000000000000000000
χ674444-44-4-4-44-2-2-2-222-2-2-2-222100002-222-22-221-1-1-1-1112-21-11-1000000003-33-33-33-300000000000000000000000000000000000000
χ684444-44-4-4-44-2-2-2-222-2-2-2-222100002-222-22-221-1-1-1-1112-21-11-100000000-33-33-33-3300000000000000000000000000000000000000
χ694444-4-444-4-44-24-22244-2-222-20000-4-4-442-22-2-22222-2-24-42-22-2000000000000000000000000000000000000000000000000000000
χ704444-4-444-4-4-24-24-4-4-2-244-4-4-20000222-2-44-44-22222-2-2-222-22-2000000000000000000000000000000000000000000000000000000
χ714444-4-444-4-4-2-2-2-222-2-2-2-22210000222-22-22-21-1-1-1-111-22-11-11000000003-3-333-3-3300000000000000000000000000000000000000
χ724444-4-444-4-4-2-2-2-222-2-2-2-22210000222-22-22-21-1-1-1-111-22-11-1100000000-333-3-333-300000000000000000000000000000000000000
χ7344-4-444-44-4-4-2-2-2-2-2-222222214i4i−4i−4i-2-222-2-222111-1-1-1-1-2211-1-1−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i00000000000000000000000000000000000000
χ7444-4-444-44-4-4-2-2-2-2-2-22222221−4i−4i4i4i-2-222-2-222111-1-1-1-1-2211-1-12i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii00000000000000000000000000000000000000
χ7544-4-44-44-4-44-2-2-2-2-2-222222214i−4i−4i4i-222-222-2-2111-1-1-1-12-2-1-111−2i2i−2i2i2i−2i2i−2iii−i−i−i−iii00000000000000000000000000000000000000
χ7644-4-44-44-4-44-2-2-2-2-2-22222221−4i4i4i−4i-222-222-2-2111-1-1-1-12-2-1-1112i−2i2i−2i−2i2i−2i2i−i−iiiii−i−i00000000000000000000000000000000000000
χ7744-4-4-444-44-44-24-222-4-422-2-2-20000-4444-222-2-222-2-222-4-4-222-2000000000000000000000000000000000000000000000000000000
χ7844-4-4-444-44-4-24-24-4-422-4-444-200002-2-2-24-4-44-222-2-22222-222-2000000000000000000000000000000000000000000000000000000
χ7944-4-4-444-44-4-2-2-2-2222222-2-2100002-2-2-2-222-21-1-111-1-1221-1-11000000003i−3i3i−3i−3i3i−3i3i00000000000000000000000000000000000000
χ8044-4-4-444-44-4-2-2-2-2222222-2-2100002-2-2-2-222-21-1-111-1-1221-1-1100000000−3i3i−3i3i3i−3i3i−3i00000000000000000000000000000000000000
χ8144-4-4-4-4-44444-24-222-4-422-2-2-20000-4-44-42-2-22-222-2-222442-2-22000000000000000000000000000000000000000000000000000000
χ8244-4-4-4-4-4444-24-24-4-422-4-444-2000022-22-444-4-222-2-222-2-22-2-22000000000000000000000000000000000000000000000000000000
χ8344-4-4-4-4-4444-2-2-2-2222222-2-21000022-222-2-221-1-111-1-1-2-2-111-1000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ8444-4-4-4-4-4444-2-2-2-2222222-2-21000022-222-2-221-1-111-1-1-2-2-111-100000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ854-44-400000044-4-4004-44-4004000000000000-400004-400000000000000000000002-22-22-22-22-22-200000000000000000000000000
χ864-44-400000044-4-4004-44-4004000000000000-400004-40000000000000000000000-22-22-22-22-22-2200000000000000000000000000
χ874-44-40000004-2-42−2i32i34-4-22−2i32i3-20000000000002−2i32i3−2i32i3-2200000000000000000000002-22-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000000000000000
χ884-44-40000004-2-42−2i32i34-4-22−2i32i3-20000000000002−2i32i3−2i32i3-220000000000000000000000-22-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000000000
χ894-44-40000004-2-422i3−2i34-4-222i3−2i3-200000000000022i3−2i32i3−2i3-2200000000000000000000002-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000000000000000
χ904-44-40000004-2-422i3−2i34-4-222i3−2i3-200000000000022i3−2i32i3−2i3-220000000000000000000000-22-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000000000
χ914-4-4400000044-4-400-44-44004000000000000-40000-4400000000000000000000002-2-222-22-2-22-2200000000000000000000000000
χ924-4-4400000044-4-400-44-44004000000000000-40000-440000000000000000000000-222-2-22-222-22-200000000000000000000000000
χ934-4-440000004-2-42−2i32i3-442-22i3−2i3-20000000000002−2i32i32i3−2i32-200000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000
χ944-4-440000004-2-42−2i32i3-442-22i3−2i3-20000000000002−2i32i32i3−2i32-20000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000
χ954-4-440000004-2-422i3−2i3-442-2−2i32i3-200000000000022i3−2i3−2i32i32-200000000000000000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000000000
χ964-4-440000004-2-422i3−2i3-442-2−2i32i3-200000000000022i3−2i3−2i32i32-20000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000
χ978-88-8000000-484-800-448-800-400000000000040000-44000000000000000000000000000000000000000000000000000000000000
χ988-88-8000000-4-444−4i34i3-44-44−4i34i32000000000000-22i3−2i32i3−2i32-2000000000000000000000000000000000000000000000000000000000000
χ998-88-8000000-4-4444i3−4i3-44-444i3−4i32000000000000-2−2i32i3−2i32i32-2000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000000-484-8004-4-8800-4000000000000400004-4000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-444−4i34i34-44-44i3−4i32000000000000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-4444i3−4i34-44-4−4i34i32000000000000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000

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