Finite Group Databasebeta

← Group #11771005

Character table — Group #11771005

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444444444444444444444444444444444444444444444444444444181818183636363636367272727272727272
order12224444443366666688881212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444424888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ7111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111-1-1-1-111111111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-11-1ii−i−i1-1i−i1-1i−i
χ10111111-1-1-1-111111111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-11-1ii−i−i-11−ii-11−ii
χ11111111-1-1-1-111111111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-11−i−iiii−i-11−ii1-1
χ12111111-1-1-1-111111111ii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-11−i−iii−ii1-1i−i-11
χ13111111-1-1-1-111111111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-11-1−i−iii1-1−ii1-1−ii
χ14111111-1-1-1-111111111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-11-1−i−iii-11i−i-11i−i
χ15111111-1-1-1-111111111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-11ii−i−ii−i1-1−ii-11
χ16111111-1-1-1-111111111−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-11ii−i−i−ii-11i−i1-1
χ172222-2-222-2-2222222220000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2000000000000
χ182222-2-222-2-2222222220000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-222000000000000
χ192222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000022-2-2-22000000000000
χ202222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-2222-2000000000000
χ2122-2-2002i−2i002222-2-2-2-21+i−1−i1−i−1+i000000002i2i2i2i−2i−2i−2i−2i000000001+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+i2i−2i2-2001−i−1+i1+i−1−i00000000
χ2222-2-2002i−2i002222-2-2-2-21+i−1−i1−i−1+i000000002i2i2i2i−2i−2i−2i−2i000000001+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−2i2i-2200−1+i1−i−1−i1+i00000000
χ2322-2-2002i−2i002222-2-2-2-2−1−i1+i−1+i1−i000000002i2i2i2i−2i−2i−2i−2i00000000−1−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−i2i−2i2-200−1+i1−i−1−i1+i00000000
χ2422-2-2002i−2i002222-2-2-2-2−1−i1+i−1+i1−i000000002i2i2i2i−2i−2i−2i−2i00000000−1−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−2i2i-22001−i−1+i1+i−1−i00000000
χ2522-2-200−2i2i002222-2-2-2-21−i−1+i1+i−1−i00000000−2i−2i−2i−2i2i2i2i2i000000001−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−i2i−2i-2200−1−i1+i−1+i1−i00000000
χ2622-2-200−2i2i002222-2-2-2-21−i−1+i1+i−1−i00000000−2i−2i−2i−2i2i2i2i2i000000001−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−2i2i2-2001+i−1−i1−i−1+i00000000
χ2722-2-200−2i2i002222-2-2-2-2−1+i1−i−1−i1+i00000000−2i−2i−2i−2i2i2i2i2i00000000−1+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+i2i−2i-22001+i−1−i1−i−1+i00000000
χ2822-2-200−2i2i002222-2-2-2-2−1+i1−i−1−i1+i00000000−2i−2i−2i−2i2i2i2i2i00000000−1+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−2i2i2-200−1−i1+i−1+i1−i00000000
χ2944444444441-21-211-2-244441111-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-2000000000000000000
χ3044444444441-21-211-2-2-4-4-4-41111-2-2-2-211-2-211-2-21111-2-2-2-2-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-12222000000000000000000
χ314444444444-21-21-2-2114444-2-2-2-21111-2-211-2-211-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-21111000000000000000000
χ324444444444-21-21-2-211-4-4-4-4-2-2-2-21111-2-211-2-211-2-2-2-211112222-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000
χ33444444-4-4-4-41-21-211-2-24i4i−4i−4i1111-2-2-2-2-1-122-1-122-1-1-1-12222iiii−2i−2i−2i−2iiiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i−i−i−i−i2i2i2i2i000000000000000000
χ34444444-4-4-4-41-21-211-2-2−4i−4i4i4i1111-2-2-2-2-1-122-1-122-1-1-1-12222−i−i−i−i2i2i2i2i−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2iiiii−2i−2i−2i−2i000000000000000000
χ35444444-4-4-4-4-21-21-2-2114i4i−4i−4i-2-2-2-2111122-1-122-1-12222-1-1-1-1−2i−2i−2i−2iiiii−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i000000000000000000
χ36444444-4-4-4-4-21-21-2-211−4i−4i4i4i-2-2-2-2111122-1-122-1-12222-1-1-1-12i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiii000000000000000000
χ374444-4-444-4-41-21-211-2-20000-1-1-1-1222211-2-211-2-2-1-1-1-122223i3i−3i−3i00003i3i−3i−3i00003i3i−3i−3i00003i3i−3i−3i0000000000000000000000
χ384444-4-444-4-41-21-211-2-20000-1-1-1-1222211-2-211-2-2-1-1-1-12222−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i0000000000000000000000
χ394444-4-444-4-4-21-21-2-21100002222-1-1-1-1-2-211-2-2112222-1-1-1-100003i3i−3i−3i00003i3i−3i−3i00003i3i−3i−3i00003i3i−3i−3i000000000000000000
χ404444-4-444-4-4-21-21-2-21100002222-1-1-1-1-2-211-2-2112222-1-1-1-10000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i0000−3i−3i3i3i000000000000000000
χ414444-4-4-4-4441-21-211-2-20000-1-1-1-12222-1-122-1-1221111-2-2-2-233-3-3000033-3-30000-3-3330000-3-3330000000000000000000000
χ424444-4-4-4-4441-21-211-2-20000-1-1-1-12222-1-122-1-1221111-2-2-2-2-3-3330000-3-333000033-3-3000033-3-30000000000000000000000
χ434444-4-4-4-444-21-21-2-21100002222-1-1-1-122-1-122-1-1-2-2-2-21111000033-3-3000033-3-30000-3-3330000-3-333000000000000000000
χ444444-4-4-4-444-21-21-2-21100002222-1-1-1-122-1-122-1-1-2-2-2-211110000-3-3330000-3-333000033-3-3000033-3-3000000000000000000
χ4544-4-4004i−4i001-21-2-1-1222+2i−2−2i2−2i−2+2i3i3i−3i−3i0000ii−2i−2i−i−i2i2i33-3-300002−i2−i−1+2i−1+2i−1−i−1−i−1−i−1−i−2+i−2+i1−2i1−2i1+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
χ4644-4-4004i−4i001-21-2-1-1222+2i−2−2i2−2i−2+2i−3i−3i3i3i0000ii−2i−2i−i−i2i2i-3-3330000−1+2i−1+2i2−i2−i−1−i−1−i−1−i−1−i1−2i1−2i−2+i−2+i1+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
χ4744-4-4004i−4i001-21-2-1-122−2−2i2+2i−2+2i2−2i3i3i−3i−3i0000ii−2i−2i−i−i2i2i33-3-30000−2+i−2+i1−2i1−2i1+i1+i1+i1+i2−i2−i−1+2i−1+2i−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
χ4844-4-4004i−4i001-21-2-1-122−2−2i2+2i−2+2i2−2i−3i−3i3i3i0000ii−2i−2i−i−i2i2i-3-33300001−2i1−2i−2+i−2+i1+i1+i1+i1+i−1+2i−1+2i2−i2−i−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
χ4944-4-4004i−4i00-21-2122-1-12+2i−2−2i2−2i−2+2i00003i3i−3i−3i−2i−2iii2i2i−i−i000033-3-3−1−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+i−1−2i−1−2i2+i2+i1−i1−i1−i1−i1+2i1+2i−2−i−2−i000000000000000000
χ5044-4-4004i−4i00-21-2122-1-12+2i−2−2i2−2i−2+2i0000−3i−3i3i3i−2i−2iii2i2i−i−i0000-3-333−1−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+i2+i2+i−1−2i−1−2i1−i1−i1−i1−i−2−i−2−i1+2i1+2i000000000000000000
χ5144-4-4004i−4i00-21-2122-1-1−2−2i2+2i−2+2i2−2i00003i3i−3i−3i−2i−2iii2i2i−i−i000033-3-31+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−i1+2i1+2i−2−i−2−i−1+i−1+i−1+i−1+i−1−2i−1−2i2+i2+i000000000000000000
χ5244-4-4004i−4i00-21-2122-1-1−2−2i2+2i−2+2i2−2i0000−3i−3i3i3i−2i−2iii2i2i−i−i0000-3-3331+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−i−2−i−2−i1+2i1+2i−1+i−1+i−1+i−1+i2+i2+i−1−2i−1−2i000000000000000000
χ5344-4-400−4i4i001-21-2-1-1222−2i−2+2i2+2i−2−2i3i3i−3i−3i0000−i−i2i2iii−2i−2i-3-3330000−1−2i−1−2i2+i2+i−1+i−1+i−1+i−1+i1+2i1+2i−2−i−2−i1−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
χ5444-4-400−4i4i001-21-2-1-1222−2i−2+2i2+2i−2−2i−3i−3i3i3i0000−i−i2i2iii−2i−2i33-3-300002+i2+i−1−2i−1−2i−1+i−1+i−1+i−1+i−2−i−2−i1+2i1+2i1−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
χ5544-4-400−4i4i001-21-2-1-122−2+2i2−2i−2−2i2+2i3i3i−3i−3i0000−i−i2i2iii−2i−2i-3-33300001+2i1+2i−2−i−2−i1−i1−i1−i1−i−1−2i−1−2i2+i2+i−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
χ5644-4-400−4i4i001-21-2-1-122−2+2i2−2i−2−2i2+2i−3i−3i3i3i0000−i−i2i2iii−2i−2i33-3-30000−2−i−2−i1+2i1+2i1−i1−i1−i1−i2+i2+i−1−2i−1−2i−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
χ5744-4-400−4i4i00-21-2122-1-12−2i−2+2i2+2i−2−2i00003i3i−3i−3i2i2i−i−i−2i−2iii0000-3-333−1+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−i2−i2−i−1+2i−1+2i1+i1+i1+i1+i−2+i−2+i1−2i1−2i000000000000000000
χ5844-4-400−4i4i00-21-2122-1-12−2i−2+2i2+2i−2−2i0000−3i−3i3i3i2i2i−i−i−2i−2iii000033-3-3−1+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−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 24 (ζ24 = 1); i = ζ6.