Finite Group Databasebeta

← Group #11770881

Character table — Group #11770881

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444444444444444444444444444444444444444444444444444444181818183636363636367272727272727272
order122222444433444466666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212224424444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ91111-1-111-1-111ii−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-11ii−i−i1-11-1i−ii−i
χ101111-1-111-1-111ii−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-11ii−i−i-11-11−ii−ii
χ111111-1-111-1-111ii−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1111-1−i−iiii−i−ii-111-1
χ121111-1-111-1-111ii−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1111-1−i−iii−iii−i1-1-11
χ131111-1-111-1-111−i−iii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-11−i−iii1-11-1−ii−ii
χ141111-1-111-1-111−i−iii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-11−i−iii-11-11i−ii−i
χ151111-1-111-1-111−i−iii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1111-1ii−i−ii−i−ii1-1-11
χ161111-1-111-1-111−i−iii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1111-1ii−i−i−iii−i-111-1
χ17222222-2-2-2-222000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-22-2000000000000
χ18222222-2-2-2-222000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-22000000000000
χ192222-2-2-2-2222200002222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000002222-2-2000000000000
χ202222-2-2-2-2222200002222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-2-2-222000000000000
χ2122-2-200002i−2i221+i−1−i1−i−1+i22-2-20000-2-20000000000002i2i2i2i−2i−2i−2i−2i1+i1+i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i2-22i−2i001+i−1−i1−i−1+i00000000
χ2222-2-200002i−2i221+i−1−i1−i−1+i22-2-20000-2-20000000000002i2i2i2i−2i−2i−2i−2i1+i1+i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i1−i1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i-22−2i2i00−1−i1+i−1+i1−i00000000
χ2322-2-200002i−2i22−1−i1+i−1+i1−i22-2-20000-2-20000000000002i2i2i2i−2i−2i−2i−2i−1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i1+i1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i1−i1−i2-22i−2i00−1−i1+i−1+i1−i00000000
χ2422-2-200002i−2i22−1−i1+i−1+i1−i22-2-20000-2-20000000000002i2i2i2i−2i−2i−2i−2i−1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i1+i1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i1−i1−i-22−2i2i001+i−1−i1−i−1+i00000000
χ2522-2-20000−2i2i221−i−1+i1+i−1−i22-2-20000-2-2000000000000−2i−2i−2i−2i2i2i2i2i1−i1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i1+i1+i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i00000000
χ2622-2-20000−2i2i221−i−1+i1+i−1−i22-2-20000-2-2000000000000−2i−2i−2i−2i2i2i2i2i1−i1−i1−i1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i1+i1+i1+i1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i-222i−2i00−1+i1−i−1−i1+i00000000
χ2722-2-20000−2i2i22−1+i1−i−1−i1+i22-2-20000-2-2000000000000−2i−2i−2i−2i2i2i2i2i−1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i1−i1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i00000000
χ2822-2-20000−2i2i22−1+i1−i−1−i1+i22-2-20000-2-2000000000000−2i−2i−2i−2i2i2i2i2i−1+i−1+i−1+i−1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i1−i1−i1−i1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i1+i1+i1+i1+i-222i−2i001−i−1+i1+i−1−i00000000
χ2944444444441-244441-21-211-2-21-211-2-21111-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-2000000000000000000
χ3044444444441-2-4-4-4-41-21-211-2-21-211-2-21111-2-2-2-211-2-211-2-2-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-12222000000000000000000
χ314444444444-214444-21-21-2-211-21-2-211-2-2-2-21111-2-211-2-211-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111000000000000000000
χ324444444444-21-4-4-4-4-21-21-2-211-21-2-211-2-2-2-21111-2-211-2-2112222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000
χ33444444-4-4-4-41-200001-21-211-2-21-211-2-2-1-1-1-12222-1-122-1-12233-3-3000033-3-3000033-3-3000033-3-30000000000000000000000
χ34444444-4-4-4-41-200001-21-211-2-21-211-2-2-1-1-1-12222-1-122-1-122-3-3330000-3-3330000-3-3330000-3-3330000000000000000000000
χ35444444-4-4-4-4-210000-21-21-2-211-21-2-2112222-1-1-1-122-1-122-1-1000033-3-3000033-3-3000033-3-3000033-3-3000000000000000000
χ36444444-4-4-4-4-210000-21-21-2-211-21-2-2112222-1-1-1-122-1-122-1-10000-3-3330000-3-3330000-3-3330000-3-333000000000000000000
χ374444-4-444-4-41-24i4i−4i−4i1-21-2-1-1221-2-1-1221111-2-2-2-2-1-122-1-122iiii−2i−2i−2i−2iiiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i−i−i−i−i2i2i2i2i000000000000000000
χ384444-4-444-4-41-2−4i−4i4i4i1-21-2-1-1221-2-1-1221111-2-2-2-2-1-122-1-122−i−i−i−i2i2i2i2i−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2iiiii−2i−2i−2i−2i000000000000000000
χ394444-4-444-4-4-214i4i−4i−4i-21-2122-1-1-2122-1-1-2-2-2-2111122-1-122-1-1−2i−2i−2i−2iiiii−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i000000000000000000
χ404444-4-444-4-4-21−4i−4i4i4i-21-2122-1-1-2122-1-1-2-2-2-2111122-1-122-1-12i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiii000000000000000000
χ414444-4-4-4-4441-200001-21-2-1-1221-2-1-122-1-1-1-1222211-2-211-2-23i3i−3i−3i00003i3i−3i−3i0000−3i−3i3i3i0000−3i−3i3i3i0000000000000000000000
χ424444-4-4-4-4441-200001-21-2-1-1221-2-1-122-1-1-1-1222211-2-211-2-2−3i−3i3i3i0000−3i−3i3i3i00003i3i−3i−3i00003i3i−3i−3i0000000000000000000000
χ434444-4-4-4-444-210000-21-2122-1-1-2122-1-12222-1-1-1-1-2-211-2-21100003i3i−3i−3i00003i3i−3i−3i0000−3i−3i3i3i0000−3i−3i3i3i000000000000000000
χ444444-4-4-4-444-210000-21-2122-1-1-2122-1-12222-1-1-1-1-2-211-2-2110000−3i−3i3i3i0000−3i−3i3i3i00003i3i−3i−3i00003i3i−3i−3i000000000000000000
χ4544-4-400004i−4i1-22+2i−2−2i2−2i−2+2i1-2-123-300-123-3003i3i−3i−3i0000ii−2i−2i−i−i2i2i2−i2−i−1+2i−1+2i−1−i−1−i−1−i−1−i−2+i−2+i1−2i1−2i1+i1+i1+i1+i2+i2+i−1−2i−1−2i−1+i−1+i−1+i−1+i−2−i−2−i1+2i1+2i1−i1−i1−i1−i000000000000000000
χ4644-4-400004i−4i1-22+2i−2−2i2−2i−2+2i1-2-12-3300-12-3300−3i−3i3i3i0000ii−2i−2i−i−i2i2i−1+2i−1+2i2−i2−i−1−i−1−i−1−i−1−i1−2i1−2i−2+i−2+i1+i1+i1+i1+i−1−2i−1−2i2+i2+i−1+i−1+i−1+i−1+i1+2i1+2i−2−i−2−i1−i1−i1−i1−i000000000000000000
χ4744-4-400004i−4i1-2−2−2i2+2i−2+2i2−2i1-2-123-300-123-3003i3i−3i−3i0000ii−2i−2i−i−i2i2i−2+i−2+i1−2i1−2i1+i1+i1+i1+i2−i2−i−1+2i−1+2i−1−i−1−i−1−i−1−i−2−i−2−i1+2i1+2i1−i1−i1−i1−i2+i2+i−1−2i−1−2i−1+i−1+i−1+i−1+i000000000000000000
χ4844-4-400004i−4i1-2−2−2i2+2i−2+2i2−2i1-2-12-3300-12-3300−3i−3i3i3i0000ii−2i−2i−i−i2i2i1−2i1−2i−2+i−2+i1+i1+i1+i1+i−1+2i−1+2i2−i2−i−1−i−1−i−1−i−1−i1+2i1+2i−2−i−2−i1−i1−i1−i1−i−1−2i−1−2i2+i2+i−1+i−1+i−1+i−1+i000000000000000000
χ4944-4-400004i−4i-212+2i−2−2i2−2i−2+2i-212-1003-32-1003-300003i3i−3i−3i−2i−2iii2i2i−i−i−1−i−1−i−1−i−1−i2−i2−i−1+2i−1+2i1+i1+i1+i1+i−2+i−2+i1−2i1−2i−1+i−1+i−1+i−1+i2+i2+i−1−2i−1−2i1−i1−i1−i1−i−2−i−2−i1+2i1+2i000000000000000000
χ5044-4-400004i−4i-212+2i−2−2i2−2i−2+2i-212-100-332-100-330000−3i−3i3i3i−2i−2iii2i2i−i−i−1−i−1−i−1−i−1−i−1+2i−1+2i2−i2−i1+i1+i1+i1+i1−2i1−2i−2+i−2+i−1+i−1+i−1+i−1+i−1−2i−1−2i2+i2+i1−i1−i1−i1−i1+2i1+2i−2−i−2−i000000000000000000
χ5144-4-400004i−4i-21−2−2i2+2i−2+2i2−2i-212-1003-32-1003-300003i3i−3i−3i−2i−2iii2i2i−i−i1+i1+i1+i1+i−2+i−2+i1−2i1−2i−1−i−1−i−1−i−1−i2−i2−i−1+2i−1+2i1−i1−i1−i1−i−2−i−2−i1+2i1+2i−1+i−1+i−1+i−1+i2+i2+i−1−2i−1−2i000000000000000000
χ5244-4-400004i−4i-21−2−2i2+2i−2+2i2−2i-212-100-332-100-330000−3i−3i3i3i−2i−2iii2i2i−i−i1+i1+i1+i1+i1−2i1−2i−2+i−2+i−1−i−1−i−1−i−1−i−1+2i−1+2i2−i2−i1−i1−i1−i1−i1+2i1+2i−2−i−2−i−1+i−1+i−1+i−1+i−1−2i−1−2i2+i2+i000000000000000000
χ5344-4-40000−4i4i1-22−2i−2+2i2+2i−2−2i1-2-123-300-123-300−3i−3i3i3i0000−i−i2i2iii−2i−2i2+i2+i−1−2i−1−2i−1+i−1+i−1+i−1+i−2−i−2−i1+2i1+2i1−i1−i1−i1−i2−i2−i−1+2i−1+2i−1−i−1−i−1−i−1−i−2+i−2+i1−2i1−2i1+i1+i1+i1+i000000000000000000
χ5444-4-40000−4i4i1-22−2i−2+2i2+2i−2−2i1-2-12-3300-12-33003i3i−3i−3i0000−i−i2i2iii−2i−2i−1−2i−1−2i2+i2+i−1+i−1+i−1+i−1+i1+2i1+2i−2−i−2−i1−i1−i1−i1−i−1+2i−1+2i2−i2−i−1−i−1−i−1−i−1−i1−2i1−2i−2+i−2+i1+i1+i1+i1+i000000000000000000
χ5544-4-40000−4i4i1-2−2+2i2−2i−2−2i2+2i1-2-123-300-123-300−3i−3i3i3i0000−i−i2i2iii−2i−2i−2−i−2−i1+2i1+2i1−i1−i1−i1−i2+i2+i−1−2i−1−2i−1+i−1+i−1+i−1+i−2+i−2+i1−2i1−2i1+i1+i1+i1+i2−i2−i−1+2i−1+2i−1−i−1−i−1−i−1−i000000000000000000
χ5644-4-40000−4i4i1-2−2+2i2−2i−2−2i2+2i1-2-12-3300-12-33003i3i−3i−3i0000−i−i2i2iii−2i−2i1+2i1+2i−2−i−2−i1−i1−i1−i1−i−1−2i−1−2i2+i2+i−1+i−1+i−1+i−1+i1−2i1−2i−2+i−2+i1+i1+i1+i1+i−1+2i−1+2i2−i2−i−1−i−1−i−1−i−1−i000000000000000000
χ5744-4-40000−4i4i-212−2i−2+2i2+2i−2−2i-212-1003-32-1003-30000−3i−3i3i3i2i2i−i−i−2i−2iii−1+i−1+i−1+i−1+i2+i2+i−1−2i−1−2i1−i1−i1−i1−i−2−i−2−i1+2i1+2i−1−i−1−i−1−i−1−i2−i2−i−1+2i−1+2i1+i1+i1+i1+i−2+i−2+i1−2i1−2i000000000000000000
χ5844-4-40000−4i4i-212−2i−2+2i2+2i−2−2i-212-100-332-100-3300003i3i−3i−3i2i2i−i−i−2i−2iii−1+i−1+i−1+i−1+i−1−2i−1−2i2+i2+i1−i1−i1−i1−i1+2i1+2i−2−i−2−i−1−i−1−i−1−i−1−i−1+2i−1+2i2−i2−i1+i1+i1+i1+i1−2i1−2i−2+i−2+i000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.