Finite Group Databasebeta

← Group #13181114

Character table — Group #13181114

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112224444444444488888881212121212121818181824242424242436363636363636108108112224444444444488888881212121212121818181824242424242436363636363636108108
order1223633336666666366666624661212441212666121212226666128822266666666666666666666246612124412126661212122266661288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-11-1-1111111111111111111111111111111111111111-1-1-1-1-1-11-1-1
χ311111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1
χ411111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111
χ511-1111111-11-1-11111-1-1-11-1-11-111-1-1-11-1-1111-1-1-11-111-1-111-111-1111111-11-1-11111-1-1-11-1-11-111-1-1-11-1-1111-1-1-11-111-1-111-1
χ611-1111111-11-1-11111-1-1-11-1-11-111-1-1-11-1-1111-1-1-1-11-1-1111-1111-1111111-11-1-11111-1-1-11-1-11-111-1-1-11-1-1111-1-1-1-11-1-1111-11
χ711-1111111-11-1-11111-1-1-11-1-1-11-1-111-11-1-1-1-1-11111-111-1-11-1111-1111111-11-1-11111-1-1-11-1-1-11-1-111-11-1-1-1-1-11111-111-1-11-11
χ811-1111111-11-1-11111-1-1-11-1-1-11-1-111-11-1-1-1-1-1111-11-1-11111-111-1111111-11-1-11111-1-1-11-1-1-11-1-111-11-1-1-1-1-1111-11-1-11111-1
χ922222222222222222222222000000-2-2-2-2000000000000-20022222222222222222222222000000-2-2-2-2000000000000-200
χ10222-1-12-1-12-12222-1-1-12-1-1-1-1-100−i3i3−i3i3-2-2110−i3i30−i3i3000000100222-1-12-1-12-12222-1-1-12-1-1-1-1-100−i3i3−i3i3-2-2110−i3i30−i3i3000000100
χ11222-1-12-1-12-12222-1-1-12-1-1-1-1-100i3−i3i3−i3-2-2110i3−i30i3−i3000000100222-1-12-1-12-12222-1-1-12-1-1-1-1-100i3−i3i3−i3-2-2110i3−i30i3−i3000000100
χ12222-1-12-1-12-12222-1-1-12-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1000000-100222-1-12-1-12-12222-1-1-12-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1000000-100
χ13222-1-12-1-12-12222-1-1-12-1-1-1-1-1-2-2111122-1-1-211-211000000-100222-1-12-1-12-12222-1-1-12-1-1-1-1-1-2-2111122-1-1-211-211000000-100
χ1422-2222222-22-2-22222-2-2-22-2-20000002-222000000000000-20022-2222222-22-2-22222-2-2-22-2-20000002-222000000000000-200
χ1522-2-1-12-1-1212-2-22-1-1-1-211-11100−i3i3i3−i32-2-1-10−i3i30i3−i300000010022-2-1-12-1-1212-2-22-1-1-1-211-11100−i3i3i3−i32-2-1-10−i3i30i3−i3000000100
χ1622-2-1-12-1-1212-2-22-1-1-1-211-11100i3−i3−i3i32-2-1-10i3−i30−i3i300000010022-2-1-12-1-1212-2-22-1-1-1-211-11100i3−i3−i3i32-2-1-10i3−i30−i3i3000000100
χ1722-2-1-12-1-1212-2-22-1-1-1-211-1112-2-1-111-22112-1-1-211000000-10022-2-1-12-1-1212-2-22-1-1-1-211-1112-2-1-111-22112-1-1-211000000-100
χ1822-2-1-12-1-1212-2-22-1-1-1-211-111-2211-1-1-2211-2112-1-1000000-10022-2-1-12-1-1212-2-22-1-1-1-211-111-2211-1-1-2211-2112-1-1000000-100
χ1944444111-24-2-2-2111-2111-2-2-22222220000-1-1-1-1-1-100000000044444111-24-2-2-2111-2111-2-2-22222220000-1-1-1-1-1-1000000000
χ2044444111-24-2-2-2111-2111-2-2-2-2-2-2-2-2-2000011111100000000044444111-24-2-2-2111-2111-2-2-2-2-2-2-2-2-20000111111000000000
χ2144444-2-2-214111-2-2-21-2-2-2111000000000000000022-1-1-1-100044444-2-2-214111-2-2-21-2-2-2111000000000000000022-1-1-1-1000
χ2244444-2-2-214111-2-2-21-2-2-21110000000000000000-2-2111100044444-2-2-214111-2-2-21-2-2-21110000000000000000-2-21111000
χ23444-2-21−1−3i32−1+3i32-2-2-2-2-21−1−3i32−1+3i3211−1−3i32−1+3i3211122−1−i3−1+i3−1−i3−1+i30000-11+i321−i32-11+i321−i32000000000444-2-21−1−3i32−1+3i32-2-2-2-2-21−1−3i32−1+3i3211−1−3i32−1+3i3211122−1−i3−1+i3−1−i3−1+i30000-11+i321−i32-11+i321−i32000000000
χ24444-2-21−1−3i32−1+3i32-2-2-2-2-21−1−3i32−1+3i3211−1−3i32−1+3i32111-2-21+i31−i31+i31−i300001−1−i32−1+i321−1−i32−1+i32000000000444-2-21−1−3i32−1+3i32-2-2-2-2-21−1−3i32−1+3i3211−1−3i32−1+3i32111-2-21+i31−i31+i31−i300001−1−i32−1+i321−1−i32−1+i32000000000
χ25444-2-21−1+3i32−1−3i32-2-2-2-2-21−1+3i32−1−3i3211−1+3i32−1−3i3211122−1+i3−1−i3−1+i3−1−i30000-11−i321+i32-11−i321+i32000000000444-2-21−1+3i32−1−3i32-2-2-2-2-21−1+3i32−1−3i3211−1+3i32−1−3i3211122−1+i3−1−i3−1+i3−1−i30000-11−i321+i32-11−i321+i32000000000
χ26444-2-21−1+3i32−1−3i32-2-2-2-2-21−1+3i32−1−3i3211−1+3i32−1−3i32111-2-21−i31+i31−i31+i300001−1+i32−1−i321−1+i32−1−i32000000000444-2-21−1+3i32−1−3i32-2-2-2-2-21−1+3i32−1−3i3211−1+3i32−1−3i32111-2-21−i31+i31−i31+i300001−1+i32−1−i321−1+i32−1−i32000000000
χ2744-444111-2-4-222111-2-1-1-1-2222-222-2-20000-1-1-111100000000044-444111-2-4-222111-2-1-1-1-2222-222-2-20000-1-1-1111000000000
χ2844-444111-2-4-222111-2-1-1-1-222-22-2-2220000111-1-1-100000000044-444111-2-4-222111-2-1-1-1-222-22-2-2220000111-1-1-1000000000
χ2944-444-2-2-21-41-1-1-2-2-212221-1-100000000000000002-2-1-11100044-444-2-2-21-41-1-1-2-2-212221-1-100000000000000002-2-1-111000
χ3044-444-2-2-21-41-1-1-2-2-212221-1-10000000000000000-2211-1-100044-444-2-2-21-41-1-1-2-2-212221-1-10000000000000000-2211-1-1000
χ3144-4-2-21−1−3i32−1+3i32-22-2221−1−3i32−1+3i321-11+3i321−3i321-1-12-2−1−i3−1+i31+i31−i30000-11+i321−i321−1−i32−1+i3200000000044-4-2-21−1−3i32−1+3i32-22-2221−1−3i32−1+3i321-11+3i321−3i321-1-12-2−1−i3−1+i31+i31−i30000-11+i321−i321−1−i32−1+i32000000000
χ3244-4-2-21−1−3i32−1+3i32-22-2221−1−3i32−1+3i321-11+3i321−3i321-1-1-221+i31−i3−1−i3−1+i300001−1−i32−1+i32-11+i321−i3200000000044-4-2-21−1−3i32−1+3i32-22-2221−1−3i32−1+3i321-11+3i321−3i321-1-1-221+i31−i3−1−i3−1+i300001−1−i32−1+i32-11+i321−i32000000000
χ3344-4-2-21−1+3i32−1−3i32-22-2221−1+3i32−1−3i321-11−3i321+3i321-1-12-2−1+i3−1−i31−i31+i30000-11−i321+i321−1+i32−1−i3200000000044-4-2-21−1+3i32−1−3i32-22-2221−1+3i32−1−3i321-11−3i321+3i321-1-12-2−1+i3−1−i31−i31+i30000-11−i321+i321−1+i32−1−i32000000000
χ3444-4-2-21−1+3i32−1−3i32-22-2221−1+3i32−1−3i321-11−3i321+3i321-1-1-221−i31+i3−1+i3−1−i300001−1+i32−1−i32-11−i321+i3200000000044-4-2-21−1+3i32−1−3i32-22-2221−1+3i32−1−3i321-11−3i321+3i321-1-1-221−i31+i3−1+i3−1−i300001−1+i32−1−i32-11−i321+i32000000000
χ354-404-444440-400-4-4-44000-40000000000000000000000000004-404-444440-400-4-4-44000-4000000000000000000000000000
χ364-404-4-2-2-210-13-32221000-13-3000000000000000000−i3i3−i3i30004-404-4-2-2-210-13-32221000-13-3000000000000000000−i3i3−i3i3000
χ374-404-4-2-2-210-13-32221000-13-3000000000000000000i3−i3i3−i30004-404-4-2-2-210-13-32221000-13-3000000000000000000i3−i3i3−i3000
χ384-404-4-2-2-210-1-332221000-1-33000000000000000000−i3i3i3−i30004-404-4-2-2-210-1-332221000-1-33000000000000000000−i3i3i3−i3000
χ394-404-4-2-2-210-1-332221000-1-33000000000000000000i3−i3−i3i30004-404-4-2-2-210-1-332221000-1-33000000000000000000i3−i3−i3i3000
χ404-40-224-2-240-400-422-20002000000000023−230000000000000004-40-224-2-240-400-422-20002000000000023−23000000000000000
χ414-40-224-2-240-400-422-200020000000000−23230000000000000004-40-224-2-240-400-422-200020000000000−2323000000000000000
χ42888-4-4-4222-4222-422-1-422-1-1-10000000000000000000000000888-4-4-4222-4222-422-1-422-1-1-10000000000000000000000000
χ4388-8-4-4-422242-2-2-422-14-2-2-111000000000000000000000000088-8-4-4-422242-2-2-422-14-2-2-1110000000000000000000000000
χ448-808-8222-40400-2-2-2-400040000000000000000000000000008-808-8222-40400-2-2-2-40004000000000000000000000000000
χ458-80-442−1−3i3−1+3i3-40400-21+3i31−3i32000-20000000000000000000000000008-80-442−1−3i3−1+3i3-40400-21+3i31−3i32000-2000000000000000000000000000
χ468-80-442−1+3i3−1−3i3-40400-21−3i31+3i32000-20000000000000000000000000008-80-442−1+3i3−1−3i3-40400-21−3i31+3i32000-2000000000000000000000000000
χ478-80-44-42220-26-64-2-2-10001-3300000000000000000000000008-80-44-42220-26-64-2-2-10001-330000000000000000000000000
χ488-80-44-42220-2-664-2-2-100013-300000000000000000000000008-80-44-42220-2-664-2-2-100013-30000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111
χ5111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-111
χ5211111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1
χ5311-1111111-11-1-11111-1-1-11-1-11-111-1-1-11-1-1111-1-1-11-111-1-111-1-1-11-1-1-1-1-1-11-111-1-1-1-1111-111-11-1-1111-111-1-1-1111-11-1-111-1-11
χ5411-1111111-11-1-11111-1-1-11-1-11-111-1-1-11-1-1111-1-1-1-11-1-1111-11-1-11-1-1-1-1-1-11-111-1-1-1-1111-111-11-1-1111-111-1-1-11111-111-1-1-11-1
χ5511-1111111-11-1-11111-1-1-11-1-1-11-1-111-11-1-1-1-1-11111-111-1-11-11-1-11-1-1-1-1-1-11-111-1-1-1-1111-1111-111-1-11-111111-1-1-1-11-1-111-11-1
χ5611-1111111-11-1-11111-1-1-11-1-1-11-1-111-11-1-1-1-1-1111-11-1-11111-1-1-11-1-1-1-1-1-11-111-1-1-1-1111-1111-111-1-11-111111-1-1-11-111-1-1-1-11
χ5722222222222222222222222000000-2-2-2-2000000000000-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000002222000000000000200
χ58222-1-12-1-12-12222-1-1-12-1-1-1-1-100−i3i3−i3i3-2-2110−i3i30−i3i3000000100-2-2-211-211-21-2-2-2-2111-21111100i3−i3i3−i322-1-10i3−i30i3−i3000000-100
χ59222-1-12-1-12-12222-1-1-12-1-1-1-1-100i3−i3i3−i3-2-2110i3−i30i3−i3000000100-2-2-211-211-21-2-2-2-2111-21111100−i3i3−i3i322-1-10−i3i30−i3i3000000-100
χ60222-1-12-1-12-12222-1-1-12-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1000000-100-2-2-211-211-21-2-2-2-2111-211111-2-21111-2-211-211-211000000100
χ61222-1-12-1-12-12222-1-1-12-1-1-1-1-1-2-2111122-1-1-211-211000000-100-2-2-211-211-21-2-2-2-2111-21111122-1-1-1-1-2-2112-1-12-1-1000000100
χ6222-2222222-22-2-22222-2-2-22-2-20000002-222000000000000-200-2-22-2-2-2-2-2-22-222-2-2-2-2222-222000000-22-2-2000000000000200
χ6322-2-1-12-1-1212-2-22-1-1-1-211-11100−i3i3i3−i32-2-1-10−i3i30i3−i3000000100-2-2211-211-2-1-222-21112-1-11-1-100i3−i3−i3i3-22110i3−i30−i3i3000000-100
χ6422-2-1-12-1-1212-2-22-1-1-1-211-11100i3−i3−i3i32-2-1-10i3−i30−i3i3000000100-2-2211-211-2-1-222-21112-1-11-1-100−i3i3i3−i3-22110−i3i30i3−i3000000-100
χ6522-2-1-12-1-1212-2-22-1-1-1-211-1112-2-1-111-22112-1-1-211000000-100-2-2211-211-2-1-222-21112-1-11-1-1-2211-1-12-2-1-1-2112-1-1000000100
χ6622-2-1-12-1-1212-2-22-1-1-1-211-111-2211-1-1-2211-2112-1-1000000-100-2-2211-211-2-1-222-21112-1-11-1-12-2-1-1112-2-1-12-1-1-211000000100
χ6744444111-24-2-2-2111-2111-2-2-22222220000-1-1-1-1-1-1000000000-4-4-4-4-4-1-1-12-4222-1-1-12-1-1-1222-2-2-2-2-2-20000111111000000000
χ6844444111-24-2-2-2111-2111-2-2-2-2-2-2-2-2-20000111111000000000-4-4-4-4-4-1-1-12-4222-1-1-12-1-1-12222222220000-1-1-1-1-1-1000000000
χ6944444-2-2-214111-2-2-21-2-2-2111000000000000000022-1-1-1-1000-4-4-4-4-4222-1-4-1-1-1222-1222-1-1-10000000000000000-2-21111000
χ7044444-2-2-214111-2-2-21-2-2-21110000000000000000-2-21111000-4-4-4-4-4222-1-4-1-1-1222-1222-1-1-1000000000000000022-1-1-1-1000
χ71444-2-21−1−3i32−1+3i32-2-2-2-2-21−1−3i32−1+3i3211−1−3i32−1+3i3211122−1−i3−1+i3−1−i3−1+i30000-11+i321−i32-11+i321−i32000000000-4-4-422-11+3i321−3i3222222-11+3i321−3i32-1-11+3i321−3i32-1-1-1-2-21+i31−i31+i31−i300001−1−i32−1+i321−1−i32−1+i32000000000
χ72444-2-21−1−3i32−1+3i32-2-2-2-2-21−1−3i32−1+3i3211−1−3i32−1+3i32111-2-21+i31−i31+i31−i300001−1−i32−1+i321−1−i32−1+i32000000000-4-4-422-11+3i321−3i3222222-11+3i321−3i32-1-11+3i321−3i32-1-1-122−1−i3−1+i3−1−i3−1+i30000-11+i321−i32-11+i321−i32000000000
χ73444-2-21−1+3i32−1−3i32-2-2-2-2-21−1+3i32−1−3i3211−1+3i32−1−3i3211122−1+i3−1−i3−1+i3−1−i30000-11−i321+i32-11−i321+i32000000000-4-4-422-11−3i321+3i3222222-11−3i321+3i32-1-11−3i321+3i32-1-1-1-2-21−i31+i31−i31+i300001−1+i32−1−i321−1+i32−1−i32000000000
χ74444-2-21−1+3i32−1−3i32-2-2-2-2-21−1+3i32−1−3i3211−1+3i32−1−3i32111-2-21−i31+i31−i31+i300001−1+i32−1−i321−1+i32−1−i32000000000-4-4-422-11−3i321+3i3222222-11−3i321+3i32-1-11−3i321+3i32-1-1-122−1+i3−1−i3−1+i3−1−i30000-11−i321+i32-11−i321+i32000000000
χ7544-444111-2-4-222111-2-1-1-1-2222-222-2-20000-1-1-1111000000000-4-44-4-4-1-1-1242-2-2-1-1-121112-2-2-22-2-2220000111-1-1-1000000000
χ7644-444111-2-4-222111-2-1-1-1-222-22-2-2220000111-1-1-1000000000-4-44-4-4-1-1-1242-2-2-1-1-121112-2-22-222-2-20000-1-1-1111000000000
χ7744-444-2-2-21-41-1-1-2-2-212221-1-100000000000000002-2-1-111000-4-44-4-4222-14-111222-1-2-2-2-1110000000000000000-2211-1-1000
χ7844-444-2-2-21-41-1-1-2-2-212221-1-10000000000000000-2211-1-1000-4-44-4-4222-14-111222-1-2-2-2-11100000000000000002-2-1-111000
χ7944-4-2-21−1−3i32−1+3i32-22-2221−1−3i32−1+3i321-11+3i321−3i321-1-12-2−1−i3−1+i31+i31−i30000-11+i321−i321−1−i32−1+i32000000000-4-4422-11+3i321−3i322-22-2-2-11+3i321−3i32-11−1−3i32−1+3i32-111-221+i31−i3−1−i3−1+i300001−1−i32−1+i32-11+i321−i32000000000
χ8044-4-2-21−1−3i32−1+3i32-22-2221−1−3i32−1+3i321-11+3i321−3i321-1-1-221+i31−i3−1−i3−1+i300001−1−i32−1+i32-11+i321−i32000000000-4-4422-11+3i321−3i322-22-2-2-11+3i321−3i32-11−1−3i32−1+3i32-1112-2−1−i3−1+i31+i31−i30000-11+i321−i321−1−i32−1+i32000000000
χ8144-4-2-21−1+3i32−1−3i32-22-2221−1+3i32−1−3i321-11−3i321+3i321-1-12-2−1+i3−1−i31−i31+i30000-11−i321+i321−1+i32−1−i32000000000-4-4422-11−3i321+3i322-22-2-2-11−3i321+3i32-11−1+3i32−1−3i32-111-221−i31+i3−1+i3−1−i300001−1+i32−1−i32-11−i321+i32000000000
χ8244-4-2-21−1+3i32−1−3i32-22-2221−1+3i32−1−3i321-11−3i321+3i321-1-1-221−i31+i3−1+i3−1−i300001−1+i32−1−i32-11−i321+i32000000000-4-4422-11−3i321+3i322-22-2-2-11−3i321+3i32-11−1+3i32−1−3i32-1112-2−1+i3−1−i31−i31+i30000-11−i321+i321−1+i32−1−i32000000000
χ834-404-444440-400-4-4-44000-4000000000000000000000000000-440-44-4-4-4-40400444-40004000000000000000000000000000
χ844-404-4-2-2-210-13-32221000-13-3000000000000000000−i3i3−i3i3000-440-44222-101-33-2-2-2-10001-33000000000000000000i3−i3i3−i3000
χ854-404-4-2-2-210-13-32221000-13-3000000000000000000i3−i3i3−i3000-440-44222-101-33-2-2-2-10001-33000000000000000000−i3i3−i3i3000
χ864-404-4-2-2-210-1-332221000-1-33000000000000000000−i3i3i3−i3000-440-44222-1013-3-2-2-2-100013-3000000000000000000i3−i3−i3i3000
χ874-404-4-2-2-210-1-332221000-1-33000000000000000000i3−i3−i3i3000-440-44222-1013-3-2-2-2-100013-3000000000000000000−i3i3i3−i3000
χ884-40-224-2-240-400-422-20002000000000023−23000000000000000-4402-2-422-404004-2-22000-20000000000−2323000000000000000
χ894-40-224-2-240-400-422-200020000000000−2323000000000000000-4402-2-422-404004-2-22000-2000000000023−23000000000000000
χ90888-4-4-4222-4222-422-1-422-1-1-10000000000000000000000000-8-8-8444-2-2-24-2-2-24-2-214-2-21110000000000000000000000000
χ9188-8-4-4-422242-2-2-422-14-2-2-1110000000000000000000000000-8-88444-2-2-2-4-2224-2-21-4221-1-10000000000000000000000000
χ928-808-8222-40400-2-2-2-40004000000000000000000000000000-880-88-2-2-240-4002224000-4000000000000000000000000000
χ938-80-442−1−3i3−1+3i3-40400-21+3i31−3i32000-2000000000000000000000000000-8804-4-21+3i31−3i340-4002−1−3i3−1+3i3-20002000000000000000000000000000
χ948-80-442−1+3i3−1−3i3-40400-21−3i31+3i32000-2000000000000000000000000000-8804-4-21−3i31+3i340-4002−1+3i3−1−3i3-20002000000000000000000000000000
χ958-80-44-42220-26-64-2-2-10001-330000000000000000000000000-8804-44-2-2-202-66-4221000-13-30000000000000000000000000
χ968-80-44-42220-2-664-2-2-100013-30000000000000000000000000-8804-44-2-2-2026-6-4221000-1-330000000000000000000000000

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