Finite Group Databasebeta

← Group #13180559

Character table — Group #13180559

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122444466688889912121212121212121218181818242424242424363636363636547210811224444666888899121212121212121212181818182424242424243636363636365472108
order1236336644433662241212121212121212226612121212121244661212412422666666444666622412121212121212122266121212121212446612124124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-111-1-1111111111-111-1-1-1-111-1-11-1-111111111111111111-111-1-1111111111-111-1-1-1-111-1-11-1-1
χ31111111111-11111111111111-1-1-1-111-111111-11-1-111-1-1-11111111111-11111111111111-1-1-1-111-111111-11-1-111-1-1-1
χ41111111111-1111111-111-1-111-1-1-1-111-1-111-1-11-1-1-1-1-1-1111111111111-1111111-111-1-111-1-1-1-111-1-111-1-11-1-1-1-1-1-111
χ511111111-1-111111111-1-111-1-111-1-11111-1-1111-1-1-1-1-111-111111111-1-111111111-1-111-1-111-1-11111-1-1111-1-1-1-1-111-1
χ611111111-1-11111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-11-1-1111-1111111111-1-11111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-11-1-1111-11
χ711111111-1-1-11111111-1-111-1-1-1-11111-11-1-111-1-111-1-1-1-1111111111-1-1-11111111-1-111-1-1-1-11111-11-1-111-1-111-1-1-1-11
χ811111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-111111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1
χ9222222220022222-2-200000002200-2-2200000000000-200222222220022222-2-200000002200-2-2200000000000-200
χ102222222200-22222-2-20000000-2-200-2-2-2000000000002002222222200-22222-2-20000000-2-200-2-2-200000000000200
χ1122-1-12222220-1-1-1-1222-1-1-1-1220000-1-102-1-1-1-10200-1-100022-1-12222220-1-1-1-1222-1-1-1-1220000-1-102-1-1-1-10200-1-1000
χ1222-1-12222220-1-1-1-122-2-1-111220000-1-10-2-1-1110-2001100022-1-12222220-1-1-1-122-2-1-111220000-1-10-2-1-1110-20011000
χ1322-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-10211-1-10-2001100022-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-10211-1-10-20011000
χ1422-1-12222-2-20-1-1-1-122-21111-2-20000-1-10-211110200-1-100022-1-12222-2-20-1-1-1-122-21111-2-20000-1-10-211110200-1-1000
χ152-22-222-2-200022-2-22-20000000002-22-2000000002-2000002-22-222-2-200022-2-22-20000000002-22-2000000002-200000
χ162-22-222-2-200022-2-22-2000000000-222-200000000-22000002-22-222-2-200022-2-22-2000000000-222-200000000-2200000
χ172-22-222-2-22i−2i022-2-2-2202i−2i002i−2i0000-22002i−2i000000000002-22-222-2-22i−2i022-2-2-2202i−2i002i−2i0000-22002i−2i00000000000
χ182-22-222-2-2−2i2i022-2-2-220−2i2i00−2i2i0000-2200−2i2i000000000002-22-222-2-2−2i2i022-2-2-220−2i2i00−2i2i0000-2200−2i2i00000000000
χ192-2-1122-2-22i−2i0-1-111-220−ii3−32i−2i00001-100−ii3−30000−i3i30002-2-1122-2-22i−2i0-1-111-220−ii3−32i−2i00001-100−ii3−30000−i3i3000
χ202-2-1122-2-22i−2i0-1-111-220−ii−332i−2i00001-100−ii−330000i3−i30002-2-1122-2-22i−2i0-1-111-220−ii−332i−2i00001-100−ii−330000i3−i3000
χ212-2-1122-2-2−2i2i0-1-111-220i−i3−3−2i2i00001-100i−i3−30000i3−i30002-2-1122-2-2−2i2i0-1-111-220i−i3−3−2i2i00001-100i−i3−30000i3−i3000
χ222-2-1122-2-2−2i2i0-1-111-220i−i−33−2i2i00001-100i−i−330000−i3i30002-2-1122-2-2−2i2i0-1-111-220i−i−33−2i2i00001-100i−i−330000−i3i3000
χ2344441-2-210041-21-2002002200-2-200001-100-1-12000000-1044441-2-210041-21-2002002200-2-200001-100-1-12000000-10
χ2444441-2-210041-21-200-200-2-200-2-20000110011-20000001044441-2-210041-21-200-200-2-200-2-20000110011-200000010
χ2544441-2-2100-41-21-2002002200220000-1-100-1-1-20000001044441-2-2100-41-21-2002002200220000-1-100-1-1-200000010
χ2644441-2-2100-41-21-200-200-2-200220000-1100112000000-1044441-2-2100-41-21-200-200-2-200220000-1100112000000-10
χ274444-211-2224-21-210002200-1-1112200-20-1-10000-1-1000004444-211-2224-21-210002200-1-1112200-20-1-10000-1-100000
χ284444-211-222-4-21-210002200-1-1-1-1-2-20020-1-1000011000004444-211-222-4-21-210002200-1-1-1-1-2-20020-1-100001100000
χ294444-211-2-2-24-21-21000-2-2001111-2-200-2011000011000004444-211-2-2-24-21-21000-2-2001111-2-200-201100001100000
χ304444-211-2-2-2-4-21-21000-2-20011-1-1220020110000-1-1000004444-211-2-2-2-4-21-21000-2-20011-1-1220020110000-1-100000
χ3144-2-24444000-2-2-2-2-4-4000000000002200000000000000044-2-24444000-2-2-2-2-4-40000000000022000000000000000
χ324-44-4-21-122i−2i0-212-10002i−2i00−ii3i−3i2-20000−ii0000-11000004-44-4-21-122i−2i0-212-10002i−2i00−ii3i−3i2-20000−ii0000-1100000
χ334-44-4-21-122i−2i0-212-10002i−2i00−ii−3i3i-220000−ii00001-1000004-44-4-21-122i−2i0-212-10002i−2i00−ii−3i3i-220000−ii00001-100000
χ344-44-4-21-12−2i2i0-212-1000−2i2i00i−i3i−3i-220000i−i00001-1000004-44-4-21-12−2i2i0-212-1000−2i2i00i−i3i−3i-220000i−i00001-100000
χ354-44-4-21-12−2i2i0-212-1000−2i2i00i−i−3i3i2-20000i−i0000-11000004-44-4-21-12−2i2i0-212-1000−2i2i00i−i−3i3i2-20000i−i0000-1100000
χ364-4-2244-4-4000-2-2224-400000000000-220000000000000004-4-2244-4-4000-2-2224-400000000000-22000000000000000
χ3788-4-42-4-42000-12-1200400-2-2000000000-2001100000000088-4-42-4-42000-12-1200400-2-2000000000-20011000000000
χ3888-4-42-4-42000-12-1200-40022000000000200-1-100000000088-4-42-4-42000-12-1200-40022000000000200-1-1000000000
χ3988-4-4-422-44402-12-1000-2-200-2-200000000110000000000088-4-4-422-44402-12-1000-2-200-2-2000000001100000000000
χ4088-4-4-422-4-4-402-12-100022002200000000-1-10000000000088-4-4-422-4-4-402-12-100022002200000000-1-100000000000
χ418-88-82-44-20002-4-240000000000000000000000000000008-88-82-44-20002-4-24000000000000000000000000000000
χ428-8-442-44-2000-121-20000023−23000000000000−330000000008-8-442-44-2000-121-20000023−23000000000000−33000000000
χ438-8-442-44-2000-121-200000−23230000000000003−30000000008-8-442-44-2000-121-200000−23230000000000003−3000000000
χ448-8-44-42-244i−4i02-1-21000−2i2i00−2i2i00000000i−i000000000008-8-44-42-244i−4i02-1-21000−2i2i00−2i2i00000000i−i00000000000
χ458-8-44-42-24−4i4i02-1-210002i−2i002i−2i00000000−ii000000000008-8-44-42-24−4i4i02-1-210002i−2i002i−2i00000000−ii00000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111-111-1-1111111111-111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-111-111
χ481111111111-11111111111111-1-1-1-111-111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-11-111-1-1111
χ491111111111-1111111-111-1-111-1-1-1-111-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-111-1-11111-1-111-1-111-1111111-1-1
χ5011111111-1-111111111-1-111-1-111-1-11111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-111111-1-11
χ5111111111-1-11111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-11-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-111-1-1-1111111-111-1-1-11-1
χ5211111111-1-1-11111111-1-111-1-1-1-11111-11-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1
χ5311111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-11-11
χ54222222220022222-2-200000002200-2-2200000000000-200-2-2-2-2-2-2-2-200-2-2-2-2-2220000000-2-20022-200000000000200
χ552222222200-22222-2-20000000-2-200-2-2-200000000000200-2-2-2-2-2-2-2-2002-2-2-2-2220000000220022200000000000-200
χ5622-1-12222220-1-1-1-1222-1-1-1-1220000-1-102-1-1-1-10200-1-1000-2-211-2-2-2-2-2-201111-2-2-21111-2-20000110-211110-20011000
χ5722-1-12222220-1-1-1-122-2-1-111220000-1-10-2-1-1110-20011000-2-211-2-2-2-2-2-201111-2-2211-1-1-2-20000110211-1-10200-1-1000
χ5822-1-12222-2-20-1-1-1-122211-1-1-2-20000-1-10211-1-10-20011000-2-211-2-2-2-22201111-2-2-2-1-111220000110-2-1-1110200-1-1000
χ5922-1-12222-2-20-1-1-1-122-21111-2-20000-1-10-211110200-1-1000-2-211-2-2-2-22201111-2-22-1-1-1-12200001102-1-1-1-10-20011000
χ602-22-222-2-200022-2-22-20000000002-22-2000000002-200000-22-22-2-222000-2-222-22000000000-22-2200000000-2200000
χ612-22-222-2-200022-2-22-2000000000-222-200000000-2200000-22-22-2-222000-2-222-220000000002-2-22000000002-200000
χ622-22-222-2-22i−2i022-2-2-2202i−2i002i−2i0000-22002i−2i00000000000-22-22-2-222−2i2i0-2-2222-20−2i2i00−2i2i00002-200−2i2i00000000000
χ632-22-222-2-2−2i2i022-2-2-220−2i2i00−2i2i0000-2200−2i2i00000000000-22-22-2-2222i−2i0-2-2222-202i−2i002i−2i00002-2002i−2i00000000000
χ642-2-1122-2-22i−2i0-1-111-220−ii3−32i−2i00001-100−ii3−30000−i3i3000-221-1-2-222−2i2i011-1-12-20i−i−33−2i2i0000-1100i−i−330000i3−i3000
χ652-2-1122-2-22i−2i0-1-111-220−ii−332i−2i00001-100−ii−330000i3−i3000-221-1-2-222−2i2i011-1-12-20i−i3−3−2i2i0000-1100i−i3−30000−i3i3000
χ662-2-1122-2-2−2i2i0-1-111-220i−i3−3−2i2i00001-100i−i3−30000i3−i3000-221-1-2-2222i−2i011-1-12-20−ii−332i−2i0000-1100−ii−330000−i3i3000
χ672-2-1122-2-2−2i2i0-1-111-220i−i−33−2i2i00001-100i−i−330000−i3i3000-221-1-2-2222i−2i011-1-12-20−ii3−32i−2i0000-1100−ii3−30000i3−i3000
χ6844441-2-210041-21-2002002200-2-200001-100-1-12000000-10-4-4-4-4-122-100-4-12-1200-200-2-200220000-110011-200000010
χ6944441-2-210041-21-200-200-2-200-2-20000110011-200000010-4-4-4-4-122-100-4-12-12002002200220000-1-100-1-12000000-10
χ7044441-2-2100-41-21-2002002200220000-1-100-1-1-200000010-4-4-4-4-122-1004-12-1200-200-2-200-2-200001100112000000-10
χ7144441-2-2100-41-21-200-200-2-200220000-1100112000000-10-4-4-4-4-122-1004-12-12002002200-2-200001-100-1-1-200000010
χ724444-211-2224-21-210002200-1-1112200-20-1-10000-1-100000-4-4-4-42-1-12-2-2-42-12-1000-2-20011-1-1-2-200201100001100000
χ734444-211-222-4-21-210002200-1-1-1-1-2-20020-1-100001100000-4-4-4-42-1-12-2-242-12-1000-2-20011112200-20110000-1-100000
χ744444-211-2-2-24-21-21000-2-2001111-2-200-201100001100000-4-4-4-42-1-1222-42-12-10002200-1-1-1-1220020-1-10000-1-100000
χ754444-211-2-2-2-4-21-21000-2-20011-1-1220020110000-1-100000-4-4-4-42-1-122242-12-10002200-1-111-2-200-20-1-100001100000
χ7644-2-24444000-2-2-2-2-4-40000000000022000000000000000-4-422-4-4-4-400022224400000000000-2-2000000000000000
χ774-44-4-21-122i−2i0-212-10002i−2i00−ii3i−3i2-20000−ii0000-1100000-44-442-11-2−2i2i02-1-21000−2i2i00i−i−3i3i-220000i−i00001-100000
χ784-44-4-21-122i−2i0-212-10002i−2i00−ii−3i3i-220000−ii00001-100000-44-442-11-2−2i2i02-1-21000−2i2i00i−i3i−3i2-20000i−i0000-1100000
χ794-44-4-21-12−2i2i0-212-1000−2i2i00i−i3i−3i-220000i−i00001-100000-44-442-11-22i−2i02-1-210002i−2i00−ii−3i3i2-20000−ii0000-1100000
χ804-44-4-21-12−2i2i0-212-1000−2i2i00i−i−3i3i2-20000i−i0000-1100000-44-442-11-22i−2i02-1-210002i−2i00−ii3i−3i-220000−ii00001-100000
χ814-4-2244-4-4000-2-2224-400000000000-22000000000000000-442-2-4-44400022-2-2-44000000000002-2000000000000000
χ8288-4-42-4-42000-12-1200400-2-2000000000-20011000000000-8-844-244-20001-21-200-40022000000000200-1-1000000000
χ8388-4-42-4-42000-12-1200-40022000000000200-1-1000000000-8-844-244-20001-21-200400-2-2000000000-20011000000000
χ8488-4-4-422-44402-12-1000-2-200-2-2000000001100000000000-8-8444-2-24-4-40-21-2100022002200000000-1-100000000000
χ8588-4-4-422-4-4-402-12-100022002200000000-1-100000000000-8-8444-2-24440-21-21000-2-200-2-2000000001100000000000
χ868-88-82-44-20002-4-24000000000000000000000000000000-88-88-24-42000-242-4000000000000000000000000000000
χ878-8-442-44-2000-121-20000023−23000000000000−33000000000-884-4-24-420001-2-1200000−23230000000000003−3000000000
χ888-8-442-44-2000-121-200000−23230000000000003−3000000000-884-4-24-420001-2-120000023−23000000000000−33000000000
χ898-8-44-42-244i−4i02-1-21000−2i2i00−2i2i00000000i−i00000000000-884-44-22-4−4i4i0-212-10002i−2i002i−2i00000000−ii00000000000
χ908-8-44-42-24−4i4i02-1-210002i−2i002i−2i00000000−ii00000000000-884-44-22-44i−4i0-212-1000−2i2i00−2i2i00000000i−i00000000000

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