Finite Group Databasebeta

← Group #11723136

Character table — Group #11723136

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222244444444444444412121212181824242424361122222444444444444444121212121818242424243611222224444444444444441212121218182424242436
order12334663681212121224242424242424242444246121212836331266362412121212242424242424242461212126126121212243633126636241212121224242424242424246121212612612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1111111111111111111111111-1-1-1-111-1-1-1111111111111111111111111-1-1-1-111-1-1-1
χ31111111111111111111111-1-111-1-1-1-111-11111111111111111111111-1-111-1-1-1-111-11111111111111111111111-1-111-1-1-1-111-1
χ41111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-11
χ5111111111-11111-1-1-1-1-1-1-1-11-11-1111-11-1-1111111111-11111-1-1-1-1-1-1-1-11-11-1111-11-1-1111111111-11111-1-1-1-1-1-1-1-11-11-1111-11-1-1
χ6111111111-11111-1-1-1-1-1-1-1-11-1-11-1-11-1-111111111111-11111-1-1-1-1-1-1-1-11-1-11-1-11-1-111111111111-11111-1-1-1-1-1-1-1-11-1-11-1-11-1-111
χ7111111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-11111111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-11111111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-11
χ8111111111-11111-1-1-1-1-1-1-1-1-11-1111-11-11-1111111111-11111-1-1-1-1-1-1-1-1-11-1111-11-11-1111111111-11111-1-1-1-1-1-1-1-1-11-1111-11-11-1
χ92222-222220-2-2-2-20000000000002-2000002222-222220-2-2-2-20000000000002-2000002222-222220-2-2-2-20000000000002-200000
χ102222-222220-2-2-2-2000000000000-22000002222-222220-2-2-2-2000000000000-22000002222-222220-2-2-2-2000000000000-2200000
χ11222-12-12-1-12-12-1-122-1-1-1-1-1-1220000-1-1000222-12-12-1-12-12-1-122-1-1-1-1-1-1220000-1-1000222-12-12-1-12-12-1-122-1-1-1-1-1-1220000-1-1000
χ12222-12-12-1-12-12-1-122-1-1-1-1-1-1-2-2000011000222-12-12-1-12-12-1-122-1-1-1-1-1-1-2-2000011000222-12-12-1-12-12-1-122-1-1-1-1-1-1-2-2000011000
χ13222-12-12-1-1-2-12-1-1-2-21111112-20000-11000222-12-12-1-1-2-12-1-1-2-21111112-20000-11000222-12-12-1-1-2-12-1-1-2-21111112-20000-11000
χ14222-12-12-1-1-2-12-1-1-2-2111111-2200001-1000222-12-12-1-1-2-12-1-1-2-2111111-2200001-1000222-12-12-1-1-2-12-1-1-2-2111111-2200001-1000
χ1522-1222-1-1-122-1-1-1-1-122-1-1-1-100220000-1-1022-1222-1-1-122-1-1-1-1-122-1-1-1-100220000-1-1022-1222-1-1-122-1-1-1-1-122-1-1-1-100220000-1-10
χ1622-1222-1-1-122-1-1-1-1-122-1-1-1-100-2-2000011022-1222-1-1-122-1-1-1-1-122-1-1-1-100-2-2000011022-1222-1-1-122-1-1-1-1-122-1-1-1-100-2-20000110
χ1722-1222-1-1-1-22-1-1-111-2-21111002-20000-11022-1222-1-1-1-22-1-1-111-2-21111002-20000-11022-1222-1-1-1-22-1-1-111-2-21111002-20000-110
χ1822-1222-1-1-1-22-1-1-111-2-2111100-2200001-1022-1222-1-1-1-22-1-1-111-2-2111100-2200001-1022-1222-1-1-1-22-1-1-111-2-2111100-2200001-10
χ19444-2-4-24-2-202-4220000000000000000000444-2-4-24-2-202-4220000000000000000000444-2-4-24-2-202-4220000000000000000000
χ2044-24-44-2-2-20-4222000000000000000000044-24-44-2-2-20-4222000000000000000000044-24-44-2-2-20-42220000000000000000000
χ2144-2-24-2-2114-2-211-2-2-2-211110000000000044-2-24-2-2114-2-211-2-2-2-211110000000000044-2-24-2-2114-2-211-2-2-2-2111100000000000
χ2244-2-24-2-211-4-2-2112222-1-1-1-10000000000044-2-24-2-211-4-2-2112222-1-1-1-10000000000044-2-24-2-211-4-2-2112222-1-1-1-100000000000
χ2344-2-2-4-2-211022-1-100003i3i−3i−3i0000000000044-2-2-4-2-211022-1-100003i3i−3i−3i0000000000044-2-2-4-2-211022-1-100003i3i−3i−3i00000000000
χ2444-2-2-4-2-211022-1-10000−3i−3i3i3i0000000000044-2-2-4-2-211022-1-10000−3i−3i3i3i0000000000044-2-2-4-2-211022-1-10000−3i−3i3i3i00000000000
χ254-4440-4-44-40000000000000000000000004-4440-4-44-40000000000000000000000004-4440-4-44-4000000000000000000000000
χ264-44-202-4-2200000006−66−66−6000000000004-44-202-4-2200000006−66−66−6000000000004-44-202-4-2200000006−66−66−600000000000
χ274-44-202-4-220000000−66−66−66000000000004-44-202-4-220000000−66−66−66000000000004-44-202-4-220000000−66−66−6600000000000
χ284-4-240-42-2200000i6−i600i6−i6−i6i6000000000004-4-240-42-2200000i6−i600i6−i6−i6i6000000000004-4-240-42-2200000i6−i600i6−i6−i6i600000000000
χ294-4-240-42-2200000−i6i600−i6i6i6−i6000000000004-4-240-42-2200000−i6i600−i6i6i6−i6000000000004-4-240-42-2200000−i6i600−i6i6i6−i600000000000
χ304-4-2-20221-10003i−3ii6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000004-4-2-20221-10003i−3ii6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000004-4-2-20221-10003i−3ii6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000
χ314-4-2-20221-10003i−3i−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000004-4-2-20221-10003i−3i−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000004-4-2-20221-10003i−3i−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000
χ324-4-2-20221-1000−3i3ii6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000004-4-2-20221-1000−3i3ii6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000004-4-2-20221-1000−3i3ii6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000
χ334-4-2-20221-1000−3i3i−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000004-4-2-20221-1000−3i3i−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000004-4-2-20221-1000−3i3i−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ35111111111111111111111111-1-1-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ361111111111111111111111-1-111-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ371111111111111111111111-1-1-1-111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ38111111111-11111-1-1-1-1-1-1-1-11-11-1111-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32
χ39111111111-11111-1-1-1-1-1-1-1-11-1-11-1-11-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ40111111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ41111111111-11111-1-1-1-1-1-1-1-1-11-1111-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ422222-222220-2-2-2-20000000000002-200000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i3000000000000−1+i31−i300000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i3000000000000−1−i31+i300000
χ432222-222220-2-2-2-2000000000000-2200000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i30000000000001−i3−1+i300000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i30000000000001+i3−1−i300000
χ44222-12-12-1-12-12-1-122-1-1-1-1-1-1220000-1-1000−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300001−i321−i32000−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300001+i321+i32000
χ45222-12-12-1-12-12-1-122-1-1-1-1-1-1-2-2000011000−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i30000−1+i32−1+i32000−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i30000−1−i32−1−i32000
χ46222-12-12-1-1-2-12-1-1-2-21111112-20000-11000−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i31−i300001−i32−1+i32000−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i31+i300001+i32−1−i32000
χ47222-12-12-1-1-2-12-1-1-2-2111111-2200001-1000−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i30000−1+i321−i32000−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i30000−1−i321+i32000
χ4822-1222-1-1-122-1-1-1-1-122-1-1-1-100220000-1-10−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i300001−i321−i320−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i300001+i321+i320
χ4922-1222-1-1-122-1-1-1-1-122-1-1-1-100-2-20000110−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32001−i31−i30000−1+i32−1+i320−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32001+i31+i30000−1−i32−1−i320
χ5022-1222-1-1-1-22-1-1-111-2-21111002-20000-110−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i3−1+i31−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200−1+i31−i300001−i32−1+i320−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i3−1−i31+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200−1−i31+i300001+i32−1−i320
χ5122-1222-1-1-1-22-1-1-111-2-2111100-2200001-10−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i3−1+i31−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32001−i3−1+i30000−1+i321−i320−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i3−1−i31+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32001+i3−1−i30000−1−i321+i320
χ52444-2-4-24-2-202-4220000000000000000000−2+2i3−2+2i3−2+2i31−i32−2i31−i3−2+2i31−i31−i30−1+i32−2i3−1+i3−1+i30000000000000000000−2−2i3−2−2i3−2−2i31+i32+2i31+i3−2−2i31+i31+i30−1−i32+2i3−1−i3−1−i30000000000000000000
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χ8122-1222-1-1-122-1-1-1-1-122-1-1-1-100220000-1-10−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i300001+i321+i320−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i300001−i321−i320
χ8222-1222-1-1-122-1-1-1-1-122-1-1-1-100-2-20000110−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32001+i31+i30000−1−i32−1−i320−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32001−i31−i30000−1+i32−1+i320
χ8322-1222-1-1-1-22-1-1-111-2-21111002-20000-110−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i3−1−i31+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200−1−i31+i300001+i32−1−i320−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i3−1+i31−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200−1+i31−i300001−i32−1+i320
χ8422-1222-1-1-1-22-1-1-111-2-2111100-2200001-10−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i3−1−i31+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32001+i3−1−i30000−1−i321+i320−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i3−1+i31−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32001−i3−1+i30000−1+i321−i320
χ85444-2-4-24-2-202-4220000000000000000000−2−2i3−2−2i3−2−2i31+i32+2i31+i3−2−2i31+i31+i30−1−i32+2i3−1−i3−1−i30000000000000000000−2+2i3−2+2i3−2+2i31−i32−2i31−i3−2+2i31−i31−i30−1+i32−2i3−1+i3−1+i30000000000000000000
χ8644-24-44-2-2-20-42220000000000000000000−2−2i3−2−2i31+i3−2−2i32+2i3−2−2i31+i31+i31+i302+2i3−1−i3−1−i3−1−i30000000000000000000−2+2i3−2+2i31−i3−2+2i32−2i3−2+2i31−i31−i31−i302−2i3−1+i3−1+i3−1+i30000000000000000000
χ8744-2-24-2-2114-2-211-2-2-2-2111100000000000−2−2i3−2−2i31+i31+i3−2−2i31+i31+i3−1−i32−1−i32−2−2i31+i31+i3−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i3200000000000−2+2i3−2+2i31−i31−i3−2+2i31−i31−i3−1+i32−1+i32−2+2i31−i31−i3−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i3200000000000
χ8844-2-24-2-211-4-2-2112222-1-1-1-100000000000−2−2i3−2−2i31+i31+i3−2−2i31+i31+i3−1−i32−1−i322+2i31+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i3200000000000−2+2i3−2+2i31−i31−i3−2+2i31−i31−i3−1+i32−1+i322−2i31−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i3200000000000
χ8944-2-2-4-2-211022-1-100003i3i−3i−3i00000000000−2−2i3−2−2i31+i31+i32+2i31+i31+i3−1−i32−1−i320−1−i3−1−i31+i321+i3200003ζ223ζ22−3ζ22−3ζ2200000000000−2+2i3−2+2i31−i31−i32−2i31−i31−i3−1+i32−1+i320−1+i3−1+i31−i321−i3200003ζ143ζ14−3ζ14−3ζ1400000000000
χ9044-2-2-4-2-211022-1-10000−3i−3i3i3i00000000000−2−2i3−2−2i31+i31+i32+2i31+i31+i3−1−i32−1−i320−1−i3−1−i31+i321+i320000−3ζ22−3ζ223ζ223ζ2200000000000−2+2i3−2+2i31−i31−i32−2i31−i31−i3−1+i32−1+i320−1+i3−1+i31−i321−i320000−3ζ14−3ζ143ζ143ζ1400000000000
χ914-4440-4-44-4000000000000000000000000−2−2i32+2i3−2−2i3−2−2i302+2i32+2i3−2−2i32+2i3000000000000000000000000−2+2i32−2i3−2+2i3−2+2i302−2i32−2i3−2+2i32−2i3000000000000000000000000
χ924-44-202-4-2200000006−66−66−600000000000−2−2i32+2i3−2−2i31+i30−1−i32+2i31+i3−1−i30000000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ2300000000000−2+2i32−2i3−2+2i31−i30−1+i32−2i31−i3−1+i30000000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ2300000000000
χ934-44-202-4-220000000−66−66−6600000000000−2−2i32+2i3−2−2i31+i30−1−i32+2i31+i3−1−i300000002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ2300000000000−2+2i32−2i3−2+2i31−i30−1+i32−2i31−i3−1+i30000000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ2300000000000
χ944-4-240-42-2200000i6−i600i6−i6−i6i600000000000−2−2i32+2i31+i3−2−2i302+2i3−1−i31+i3−1−i300000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ2300−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ2300000000000−2+2i32−2i31−i3−2+2i302−2i3−1+i31−i3−1+i300000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ2300ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ2300000000000
χ954-4-240-42-2200000−i6i600−i6i6i6−i600000000000−2−2i32+2i31+i3−2−2i302+2i3−1−i31+i3−1−i3000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ2300000000000−2+2i32−2i31−i3−2+2i302−2i3−1+i31−i3−1+i300000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ2300−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ2300000000000
χ964-4-2-20221-10003i−3ii6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−1−i321+i320003ζ22−3ζ22−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ2300000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−1+i321−i320003ζ14−3ζ14ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ2300000000000
χ974-4-2-20221-10003i−3i−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−1−i321+i320003ζ22−3ζ222ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ2300000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−1+i321−i320003ζ14−3ζ14−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ2300000000000
χ984-4-2-20221-1000−3i3ii6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−1−i321+i32000−3ζ223ζ22−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ1300000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−1+i321−i32000−3ζ143ζ14ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ232ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ1300000000000
χ994-4-2-20221-1000−3i3i−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−1−i321+i32000−3ζ223ζ222ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ1300000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−1+i321−i32000−3ζ143ζ14−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ1300000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.