Finite Group Databasebeta

← Group #72222941

Character table — Group #72222941

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112233666666121218242436363636363636363636363648485472721122336666661212182424363636363636363636363636484854727211223366666612121824243636363636363636363636364848547272
order123622366666662362444661212121212123626636366636666666636612121266121212121212366663636663666666663661212126612121212121236666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ311111111111111-1111-11-111-1-111-1-111-1-1-111111111111111-1111-11-111-1-111-1-111-1-1-111111111111111-1111-11-111-1-111-1-111-1-1-1
χ411111111111111-111-11-11-1-111-1-11111-1-1-111111111111111-111-11-11-1-111-1-11111-1-1-111111111111111-111-11-11-1-111-1-11111-1-1-1
χ5222222222222222-1-1000000000000-1-12-1-1222222222222222-1-1000000000000-1-12-1-1222222222222222-1-1000000000000-1-12-1-1
χ622222222222222-2-1-1000000000000-1-1-21122222222222222-2-1-1000000000000-1-1-21122222222222222-2-1-1000000000000-1-1-211
χ7222222-12-1-12-1-1-10222020-1-100-1-100-1-1000222222-12-1-12-1-1-10222020-1-100-1-100-1-1000222222-12-1-12-1-1-10222020-1-100-1-100-1-1000
χ8222222-12-1-12-1-1-1022-20-2011001100-1-1000222222-12-1-12-1-1-1022-20-2011001100-1-1000222222-12-1-12-1-1-1022-20-2011001100-1-1000
χ92-22-22-222-2-2-222-202-20000000000002-20002-22-22-222-2-2-222-202-20000000000002-20002-22-22-222-2-2-222-202-20000000000002-2000
χ102-22-22-222-2-2-222-20-11000000000000-110−i3i32-22-22-222-2-2-222-20-11000000000000-110−i3i32-22-22-222-2-2-222-20-11000000000000-110−i3i3
χ112-22-22-222-2-2-222-20-11000000000000-110i3−i32-22-22-222-2-2-222-20-11000000000000-110i3−i32-22-22-222-2-2-222-20-11000000000000-110i3−i3
χ122-22-22-2-1211-2-1-1102-20000−i3i300−i3i300-110002-22-22-2-1211-2-1-1102-20000−i3i300−i3i300-110002-22-22-2-1211-2-1-1102-20000−i3i300−i3i300-11000
χ132-22-22-2-1211-2-1-1102-20000i3−i300i3−i300-110002-22-22-2-1211-2-1-1102-20000i3−i300i3−i300-110002-22-22-2-1211-2-1-1102-20000i3−i300i3−i300-11000
χ143333-1-13-13-1-1-1-1-130011-1-11111-1-1-1-100-1003333-1-13-13-1-1-1-1-130011-1-11111-1-1-1-100-1003333-1-13-13-1-1-1-1-130011-1-11111-1-1-1-100-100
χ153333-1-13-13-1-1-1-1-1300-1-111-1-1-1-1111100-1003333-1-13-13-1-1-1-1-1300-1-111-1-1-1-1111100-1003333-1-13-13-1-1-1-1-1300-1-111-1-1-1-1111100-100
χ163333-1-13-13-1-1-1-1-1-3001-1-1111-1-1-1-111001003333-1-13-13-1-1-1-1-1-3001-1-1111-1-1-1-111001003333-1-13-13-1-1-1-1-1-3001-1-1111-1-1-1-11100100
χ173333-1-13-13-1-1-1-1-1-300-111-1-1-11111-1-1001003333-1-13-13-1-1-1-1-1-300-111-1-1-11111-1-1001003333-1-13-13-1-1-1-1-1-300-111-1-1-11111-1-100100
χ18444444-24-2-24-2-2-20-2-200000000000011000444444-24-2-24-2-2-20-2-200000000000011000444444-24-2-24-2-2-20-2-200000000000011000
χ194-44-44-4-2422-4-2-220-220000000000001-10004-44-44-4-2422-4-2-220-220000000000001-10004-44-44-4-2422-4-2-220-220000000000001-1000
χ206666-2-2-3-2-31-211100020-20-1-1001100000006666-2-2-3-2-31-211100020-20-1-1001100000006666-2-2-3-2-31-211100020-20-1-100110000000
χ216666-2-2-3-2-31-2111000-20201100-1-100000006666-2-2-3-2-31-2111000-20201100-1-100000006666-2-2-3-2-31-2111000-20201100-1-10000000
χ2266-3-3660-300-3000000020200-1-100-1-10000066-3-3660-300-3000000020200-1-100-1-10000066-3-3660-300-3000000020200-1-100-1-100000
χ2366-3-3660-300-30000000-20-2001100110000066-3-3660-300-30000000-20-2001100110000066-3-3660-300-30000000-20-20011001100000
χ2466-3-3-2-2010414-2-2000020-200-1-100110000066-3-3-2-2010414-2-2000020-200-1-100110000066-3-3-2-2010414-2-2000020-200-1-1001100000
χ2566-3-3-2-2010414-2-20000-202001100-1-10000066-3-3-2-2010414-2-20000-202001100-1-10000066-3-3-2-2010414-2-20000-202001100-1-100000
χ266-66-6-226-2-622-2-22000000000000000000006-66-6-226-2-622-2-22000000000000000000006-66-6-226-2-622-2-2200000000000000000000
χ276-66-6-22-3-23-1211-10000000−i3i300i3−i300000006-66-6-22-3-23-1211-10000000−i3i300i3−i300000006-66-6-22-3-23-1211-10000000−i3i300i3−i30000000
χ286-66-6-22-3-23-1211-10000000i3−i300−i3i300000006-66-6-22-3-23-1211-10000000i3−i300−i3i300000006-66-6-22-3-23-1211-10000000i3−i300−i3i30000000
χ296-6-336-60-30030000000000003−3003−3000006-6-336-60-30030000000000003−3003−3000006-6-336-60-30030000000000003−3003−300000
χ306-6-336-60-3003000000000000−3300−33000006-6-336-60-3003000000000000−3300−33000006-6-336-60-3003000000000000−3300−3300000
χ316-6-33-22010-4-14-220000000003−300−33000006-6-33-22010-4-14-220000000003−300−33000006-6-33-22010-4-14-220000000003−300−3300000
χ326-6-33-22010-4-14-22000000000−33003−3000006-6-33-22010-4-14-22000000000−33003−3000006-6-33-22010-4-14-22000000000−33003−300000
χ331212-6-6-4-4020-42-422000000000000000000001212-6-6-4-4020-42-422000000000000000000001212-6-6-4-4020-42-42200000000000000000000
χ3412-12-66-440204-2-42-20000000000000000000012-12-66-440204-2-42-20000000000000000000012-12-66-440204-2-42-200000000000000000000
χ351111111111111111111111111111111111−1+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−i32−1−i32−1−i32
χ3611111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111−1+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−i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3711111111111111-1111-11-111-1-111-1-111-1-1-1−1+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+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ3811111111111111-111-11-11-1-111-1-11111-1-1-1−1+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+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ39222222222222222-1-1000000000000-1-12-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i320000000000001−i321−i32−1+i31−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i320000000000001+i321+i32−1−i31+i321+i32
χ4022222222222222-2-1-1000000000000-1-1-211−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i321−i320000000000001−i321−i321−i3−1+i32−1+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i321+i320000000000001+i321+i321+i3−1−i32−1−i32
χ41222222-12-1-12-1-1-10222020-1-100-1-100-1-1000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i320−1+i3−1+i3−1+i30−1+i301−i321−i32001−i321−i32001−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i320−1−i3−1−i3−1−i30−1−i301+i321+i32001+i321+i32001+i321+i32000
χ42222222-12-1-12-1-1-1022-20-2011001100-1-1000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i320−1+i3−1+i31−i301−i30−1+i32−1+i3200−1+i32−1+i32001−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i320−1−i3−1−i31+i301+i30−1−i32−1−i3200−1−i32−1−i32001+i321+i32000
χ432-22-22-222-2-2-222-202-20000000000002-2000−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i30−1+i31−i3000000000000−1+i31−i3000−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i30−1−i31+i3000000000000−1−i31+i3000
χ442-22-22-222-2-2-222-20-11000000000000-110−i3i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i301−i32−1+i320000000000001−i32−1+i3203+i32−3−i32−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i301+i32−1−i320000000000001+i32−1−i320−3+i323−i32
χ452-22-22-222-2-2-222-20-11000000000000-110i3−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i301−i32−1+i320000000000001−i32−1+i320−3−i323+i32−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i301+i32−1−i320000000000001+i32−1−i3203−i32−3+i32
χ462-22-22-2-1211-2-1-1102-20000−i3i300−i3i300-11000−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i3−1+i32−1+i321−i31−i321−i32−1+i320−1+i31−i300003+i32−3−i32003+i32−3−i32001−i32−1+i32000−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i3−1−i32−1−i321+i31+i321+i32−1−i320−1−i31+i30000−3+i323−i3200−3+i323−i32001+i32−1−i32000
χ472-22-22-2-1211-2-1-1102-20000i3−i300i3−i300-11000−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i3−1+i32−1+i321−i31−i321−i32−1+i320−1+i31−i30000−3−i323+i3200−3−i323+i32001−i32−1+i32000−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i3−1−i32−1−i321+i31+i321+i32−1−i320−1−i31+i300003−i32−3+i32003−i32−3+i32001+i32−1−i32000
χ483333-1-13-13-1-1-1-1-130011-1-11111-1-1-1-100-100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i32−3+3i3200−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32001−i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i32−3−3i3200−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32001+i3200
χ493333-1-13-13-1-1-1-1-1300-1-111-1-1-1-1111100-100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i32−3+3i32001−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i32−3−3i32001+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i3200
χ503333-1-13-13-1-1-1-1-1-3001-1-1111-1-1-1-11100100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i323−3i3200−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3200−1+i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i323+3i3200−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200−1−i3200
χ513333-1-13-13-1-1-1-1-1-300-111-1-1-11111-1-100100−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−3+3i321−i32−3+3i321−i321−i321−i321−i321−i323−3i32001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200−1+i3200−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−3−3i321+i32−3−3i321+i321+i321+i321+i321+i323+3i32001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200−1−i3200
χ52444444-24-2-24-2-2-20-2-200000000000011000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−2+2i31−i31−i3−2+2i31−i31−i31−i301−i31−i3000000000000−1+i32−1+i32000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−2−2i31+i31+i3−2−2i31+i31+i31+i301+i31+i3000000000000−1−i32−1−i32000
χ534-44-44-4-2422-4-2-220-220000000000001-1000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i3−2+2i3−1+i3−1+i32−2i31−i31−i3−1+i301−i3−1+i3000000000000−1+i321−i32000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i3−2−2i3−1−i3−1−i32+2i31+i31+i3−1−i301+i3−1−i3000000000000−1−i321+i32000
χ546666-2-2-3-2-31-211100020-20-1-100110000000−3+3i3−3+3i3−3+3i3−3+3i31−i31−i33−3i321−i33−3i32−1+i321−i3−1+i32−1+i32−1+i32000−1+i301−i301−i321−i3200−1+i32−1+i320000000−3−3i3−3−3i3−3−3i3−3−3i31+i31+i33+3i321+i33+3i32−1−i321+i3−1−i32−1−i32−1−i32000−1−i301+i301+i321+i3200−1−i32−1−i320000000
χ556666-2-2-3-2-31-2111000-20201100-1-10000000−3+3i3−3+3i3−3+3i3−3+3i31−i31−i33−3i321−i33−3i32−1+i321−i3−1+i32−1+i32−1+i320001−i30−1+i30−1+i32−1+i32001−i321−i320000000−3−3i3−3−3i3−3−3i3−3−3i31+i31+i33+3i321+i33+3i32−1−i321+i3−1−i32−1−i32−1−i320001+i30−1−i30−1−i32−1−i32001+i321+i320000000
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χ9266-3-3-2-2010414-2-2000020-200-1-1001100000−3−3i3−3−3i33+3i323+3i321+i31+i30−1−i320−2−2i3−1−i32−2−2i31+i31+i30000−1−i301+i3001+i321+i3200−1−i32−1−i3200000−3+3i3−3+3i33−3i323−3i321−i31−i30−1+i320−2+2i3−1+i32−2+2i31−i31−i30000−1+i301−i3001−i321−i3200−1+i32−1+i3200000
χ9366-3-3-2-2010414-2-20000-202001100-1-100000−3−3i3−3−3i33+3i323+3i321+i31+i30−1−i320−2−2i3−1−i32−2−2i31+i31+i300001+i30−1−i300−1−i32−1−i32001+i321+i3200000−3+3i3−3+3i33−3i323−3i321−i31−i30−1+i320−2+2i3−1+i32−2+2i31−i31−i300001−i30−1+i300−1+i32−1+i32001−i321−i3200000
χ946-66-6-226-2-622-2-2200000000000000000000−3−3i33+3i3−3−3i33+3i31+i3−1−i3−3−3i31+i33+3i3−1−i3−1−i31+i31+i3−1−i300000000000000000000−3+3i33−3i3−3+3i33−3i31−i3−1+i3−3+3i31−i33−3i3−1+i3−1+i31−i31−i3−1+i300000000000000000000
χ956-66-6-22-3-23-1211-10000000−i3i300i3−i30000000−3−3i33+3i3−3−3i33+3i31+i3−1−i33+3i321+i3−3−3i321+i32−1−i3−1−i32−1−i321+i320000000−3+i323−i32003−i32−3+i320000000−3+3i33−3i3−3+3i33−3i31−i3−1+i33−3i321−i3−3+3i321−i32−1+i3−1+i32−1+i321−i3200000003+i32−3−i3200−3−i323+i320000000
χ966-66-6-22-3-23-1211-10000000i3−i300−i3i30000000−3−3i33+3i3−3−3i33+3i31+i3−1−i33+3i321+i3−3−3i321+i32−1−i3−1−i32−1−i321+i3200000003−i32−3+i3200−3+i323−i320000000−3+3i33−3i3−3+3i33−3i31−i3−1+i33−3i321−i3−3+3i321−i32−1+i3−1+i32−1+i321−i320000000−3−i323+i32003+i32−3−i320000000
χ976-6-336-60-30030000000000003−3003−300000−3−3i33+3i33+3i32−3−3i32−3−3i33+3i303+3i3200−3−3i320000000000002ζ7+ζ11−2ζ7−ζ11002ζ7+ζ11−2ζ7−ζ1100000−3+3i33−3i33−3i32−3+3i32−3+3i33−3i303−3i3200−3+3i32000000000000−ζ7−2ζ11ζ7+2ζ1100−ζ7−2ζ11ζ7+2ζ1100000
χ986-6-336-60-3003000000000000−3300−3300000−3−3i33+3i33+3i32−3−3i32−3−3i33+3i303+3i3200−3−3i32000000000000−2ζ7−ζ112ζ7+ζ1100−2ζ7−ζ112ζ7+ζ1100000−3+3i33−3i33−3i32−3+3i32−3+3i33−3i303−3i3200−3+3i32000000000000ζ7+2ζ11−ζ7−2ζ1100ζ7+2ζ11−ζ7−2ζ1100000
χ996-6-33-22010-4-14-220000000003−300−3300000−3−3i33+3i33+3i32−3−3i321+i3−1−i30−1−i3202+2i31+i32−2−2i31+i3−1−i30000000002ζ7+ζ11−2ζ7−ζ1100−2ζ7−ζ112ζ7+ζ1100000−3+3i33−3i33−3i32−3+3i321−i3−1+i30−1+i3202−2i31−i32−2+2i31−i3−1+i3000000000−ζ7−2ζ11ζ7+2ζ1100ζ7+2ζ11−ζ7−2ζ1100000
χ1006-6-33-22010-4-14-22000000000−33003−300000−3−3i33+3i33+3i32−3−3i321+i3−1−i30−1−i3202+2i31+i32−2−2i31+i3−1−i3000000000−2ζ7−ζ112ζ7+ζ11002ζ7+ζ11−2ζ7−ζ1100000−3+3i33−3i33−3i32−3+3i321−i3−1+i30−1+i3202−2i31−i32−2+2i31−i3−1+i3000000000ζ7+2ζ11−ζ7−2ζ1100−ζ7−2ζ11ζ7+2ζ1100000
χ1011212-6-6-4-4020-42-42200000000000000000000−6−6i3−6−6i33+3i33+3i32+2i32+2i30−1−i302+2i3−1−i32+2i3−1−i3−1−i300000000000000000000−6+6i3−6+6i33−3i33−3i32−2i32−2i30−1+i302−2i3−1+i32−2i3−1+i3−1+i300000000000000000000
χ10212-12-66-440204-2-42-200000000000000000000−6−6i36+6i33+3i3−3−3i32+2i3−2−2i30−1−i30−2−2i31+i32+2i3−1−i31+i300000000000000000000−6+6i36−6i33−3i3−3+3i32−2i3−2+2i30−1+i30−2+2i31−i32−2i3−1+i31−i300000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.